Use the tables in, \(n = 15, p=0.\bar{6}, P(10\leq X\leq 12)\), \(n = 10, p=0.\bar{6}, P(5\leq X\leq 8)\). Classify the following random variables as discrete or continuous. Find the probability that two such proofreaders working independently will miss at least one error in a work that contains four errors. Many phenomena can be viewed as examples of a random walk. The coin is tossed ten times. Compute the probability indicated. x The number \(X\) of sound but blemished tires that he produces on a random day has the probability distribution \[\begin{array}{c|c c c c} x &2 &3 &4 &5 \\ \hline P(x) &0.48 &0.36 &0.12 &0.04\\ \end{array}\]. A continuous variable is one whose value can be obtained by measuring it. Classify the following random variable. He needs to ask someone directions. In other words when the values of variable can be counted then it is a discrete variable and when the values of variable can be measured then it is a continuous variable . They take positive real values, that means that in the interval used for the variable there are infinite possible values. Variable Y consists of length of time which can't be counted but can be measured. 1. frequency Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. 3) Time taken to prepare a drink. Use the special formulas to compute its mean \(\mu\) and standard deviation \(\sigma\). Example Discrete Variables: Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. A:Please find the explanation for question b below. Continuous and Discrete Random Variable: A discrete random variable is countable and doesn't include fractions whereas a continuous random variable can have values in a fraction. Explain fully. Q:(a) Perform Continuous data consists of complex numbers and varying data values measured over a specific time interval. The number \(X\) of nails in a randomly selected \(1\)-pound box has the probability distribution shown. 3.65 A continuous variable is a variable whose value is obtained by measuring. .. 1.9 Popl. 0.04 The variable in the problem is the number of leaves on a tree. Find the value th A player has to cross 10 hurdles in a hurdle race. (Make a reasonable estimate based on experience, where necessary.). Mac n cheese 1) Classify the following random variable according to whether it is discrete or continuous. An insurance company will sell a \(\$90,000\) one-year term life insurance policy to an individual in a particular risk group for a premium of \(\$478\). 10 The estimated, A:Given data: 1. Let \(C\) denote how much the insurance company charges such a person for such a policy. Level of significance () = 0.1 The distance a rental car rented on a daily rate is driven each day. (-1.36,, Q:You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories, Q:run, we sampled 25 bottles that had an average fill level 995 ml. Let \(X\) denote the number of dice that land with the same number of dots on top as at least one other die. Circle the correct answer. Will the owner have the cover installed? The average weight of newborn babies born in a particular county one month. 1) Number of customers served by a coffee shop per hour. Find the expected value to the company of a single policy if a person in this risk group has a \(97.25\%\) chance of surviving one year. Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. what pairs of lines are parallel? Y : the length of timeto play 18 holes of golf. The area of lots in an exclusive subdivision 4. The number of kernels of popcorn in a \(1\)-pound container. \(X\) is a binomial random variable with the parameters shown. Ask your question. Quantitative Random Variables . The number of phone calls received at a police station on a day b. 4.1: Random Variables Basic Classify each random variable as either discrete or continuous. Blanca weighs x pounds. Instead of testing all \(600\) blood samples to find the expected \(12\) diseased individuals, investigators group the samples into \(60\) groups of \(10\) each, mix a little of the blood from each of the \(10\) samples in each group, and test each of the \(60\) mixtures. If a carrier is boarded with four other dogs, what is the probability that at least one of the four healthy dogs will develop kennel cough? the following simple, A:Consider the three doors in the following order: There are four main classification tasks in Machine learning: binary, multi-class, multi-label, and imbalanced classifications. Use the first variable for the x-axis. 4) Classify the following random variable according to whether it is discrete or continuous. D = domestic flight. Identify the set of possible values for each random variable. Find the probability that the first person he encounters will be able to speak English. Mx (1) = (0.21+0.79e). Discrete d. The foot lengths of humans are a continuous random variable as the length of the foot can take infinitely many values. Consider ff- if its set of possible outcomes is countable. Assume the bills are normally distributed with standard deviation $ 17.15 . M: the time required to download a file from the Internet. This is continuous. Use the tables in, \(X\) is a binomial random variable with parameters \(n=5\), \(p=0.\bar{3}\). Round to two decimal places (for example: 42.81). . TRUE OR FALSE? variable is a set of possible outcomes that is countable. Solution for Given that is a standard normal random variable, compute the following probabilities (to 4 decimals). What is the probability that, A:Given Information: 3.77 =5%=1.2%. It's a ratio of two continuous functions. Moment generating function of X is \(X\) is a binomial random variable with parameters \(n=12\) and \(p=0.82\). (For fair dice this number is \(7\)). The number of accidents per year at an intersection. Find the probability that no days at all will be lost next summer. The sum of their weights is 330 pounds. answered A. Classify the following random variables as discrete or continuous. Write an equation about the sum of their weights. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. Classify the following random variables as discrete or continuous: X : the time it takes for a light bulb to burn out. High School GPA Independent variable (x) = no. 2010, 31, 2225-2236. Control group The probability that a \(7\)-ounce skein of a discount worsted weight knitting yarn contains a knot is \(0.25\). Questions This site is using cookies under cookie policy . What is the probability that \(14\) or more people in such a sample would recognize its brand name if the actual proportion \(p\) of all adults who recognize the brand name were only \(0.50\)? B. Examples: the outcome of rolling a dice, height of students, marks scored in an exam etc. Find the average number of inferior quality grapefruit per box of a dozen. The spelling test is not finite. 3.21 The denominator isn't zero. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. It is rejecting the standard. Find the value th Find answers to questions asked by students like you. Construct the probability distribution for \(X\). Mostly, discrete random variables represent count data, such as the number of defective chairs produced in a factory. One, A:This question examines the correlation between height and weight in a study of a representative, Q:An engineer was interested in the effect of two factors on strength of sheet castings of a Three coins are tossed and the random variable Z gives the number of tails. If the ball lands in a red slot, he receives back the dollar he bet plus an additional dollar. Let \(X\) denote the number of patients on any given day who require a sedative. 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee The variable can only take on whole number values (fractions of students do not exist). The number of voters favoring a candidate 3. Q: the weight of grain produced per acre. So, it is a continuous variable. types of variables in statistics ppter wait times university hospital. Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. Classify the following random variables as discrete or continuous. The number of winners in lotto for each day 7. Find the average number of cracked or broken eggs in one dozen cartons. Circle the correct answer. 62 Answer: Discrete, quantitative, ratio Classify the following random variables as continuous or discrete: the length of hairs on a horse. The number of hearts in a five-card hand drawn from a deck of \(52\) cards that contains \(13\) hearts in all. The weight of the professional wrestler 2. Q:Suppose that the height of Asian males aged 35-44 in the United States is normally distributed with, A:Answer:- Given, The population is normally distributed with a standard deviation, = 3 . =1-0.95 menu Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. Classify each random variable as either discrete or continuous. every payday, at which time there are always two tellers on duty. Your friend Caroline helped you with the null, A:Given that, How do you determine whether data is discrete or continuous? You can specify conditions of storing and accessing cookies in your browser, B Classify the following random variables as discrete or continuous, 1. the number of defective computers produced by a manufacturer. \(X\) is a binomial random variable with parameters \(n=16\) and \(p=0.74\). Find the probability that Borachio will produce at most two blemished tires tomorrow. Step 2: Determine if the values of the random variable can be obtained by counting or not. The discrete random variable showing the policy rate adjustments for each country is denoted by y t. . Complete: The absolute value of a number is its distance from ? \(X\) is the number of coins that match at least one other coin when four coins are tossed at once. a. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) Application 1. the number of defective computers produced by a manufacturer (10 mins.) What assumptions can you make out of this activity? The number of breakdowns of city buses in a large city in one week. If not, explain why not. \(X\) is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. So, it is a discrete variable. 1 The number of pitches made by a starting pitcher in a major league baseball game. Mean=14.7, Standard deviations=0.9, Q:Assume the resting heart rates for a sample of individuals are normally distributed with a mean of, A:LetX be the heart rates for a sample of individuals. The number of boys in a randomly selected three-child family. You can specify conditions of storing and accessing cookies in your browser. discrete. the number of . Discrete 3) Time taken to prepare a drink. Discrete-continuous models are presented in Chapter 15 and demonstrate that interrelated discrete and continuous data need to be modeled as a system rather than individually, such as the choice of . Suppose the, A:given data b. Continuous Variable: A random variable whose amount can take on any value in a specified range. A. Student The time, to the nearest whole minute, that a city bus takes to go from one end of its route to the other has the probability distribution shown. Sandwich Such a person wishes to buy a \(\$75,000\) one-year term life insurance policy. It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, A: Answer:- Given, The competitor's bid x is a random variable that is uniformly distributed between question_answer Q: Base on the given data given, change the variable sale price into two categories: above the mean The number of accidents per year at an intersection. of patients = 10 \(X\) is the number of fish of a particular species, among the next ten landed by a commercial fishing boat, that are more than \(13\) inches in length, when \(17\%\) of all such fish exceed \(13\) inches in length. You can specify conditions of storing and accessing cookies in your browser. A student guesses the answer to every question. Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. If it costs Tybalt \(44\) cents to mail his entry, what is the expected value of the sweepstakes to him? Number of houses, Q:se the sample data to construct a scatterplot. Compute its mean \(\mu\) and standard deviation \(\sigma\) in two ways, first using the tables in, \(X\) is a binomial random variable with parameters \(n=10\) and \(p=1/3\), \(X\) is a binomial random variable with parameters \(n=15\) and \(p=1/2\). Construct the probability distribution of \(X\). One-third of all patients who undergo a non-invasive but unpleasant medical test require a sedative. Use the formula for weighted data. 2) Classify the following random variable according to whether it is discrete or continuous. The number of students in a school district is a countable data set. Answer in as fast as 15 minutes. 4.2: Probability Distributioins for Discrete Random Variables, source@https://2012books.lardbucket.org/books/beginning-statistics, status page at https://status.libretexts.org. Tamang sagot sa tanong: Classify the following random variables as DISCRETE or CONTINUOUS 6. the speed of a car on Route 3 1. the number of questions on a math 2. the number of puppies in a liter 3. the letters in the English alphabet4. m(HNO3) = 12,6 Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is \(20\%\) or less. Shylock enters a local branch bank at \(4:30\; p.m\). The variable in the problem is the time length for any movie. Find the average number of appeals in such mailings that are made to students who already give blood. The area of lots in an exclusive subdivision 8. In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. T: 02743.899.588 - 0985.173.317 Ms Hng - 0908.131.884 Mr Quyn Using the cumulative probability distribution for \(X\) in 7.1: Large Sample Estimation of a Population Mean find the minimum number \(x_{min}\) of doses of the sedative that should be on hand at the start of the day so that there is a \(99\%\) chance that the laboratory will not run out. : What is the relationship between y and \[\begin{array}{c|c c c c} x &-2 &0 &2 &4 \\ \hline P(x) &0.3 &0.5 &0.2 &0.1\\ \end{array}\], \[\begin{array}{c|c c c} x &0.5 &0.25 &0.25\\ \hline P(x) &-0.4 &0.6 &0.8\\ \end{array}\], \[\begin{array}{c|c c c c c} x &1.1 &2.5 &4.1 &4.6 &5.3\\ \hline P(x) &0.16 &0.14 &0.11 &0.27 &0.22\\ \end{array}\], \[\begin{array}{c|c c c c c} x &0 &1 &2 &3 &4\\ \hline P(x) &-0.25 &0.50 &0.35 &0.10 &0.30\\ \end{array}\], \[\begin{array}{c|c c c } x &1 &2 &3 \\ \hline P(x) &0.325 &0.406 &0.164 \\ \end{array}\], \[\begin{array}{c|c c c c c} x &25 &26 &27 &28 &29 \\ \hline P(x) &0.13 &0.27 &0.28 &0.18 &0.14 \\ \end{array}\]. A discrete variable is one whose value can be determined by counting. Construct the probability distribution of \(X\). Find the probability that \(X\) is two, three, or four. Let \(X\) denote the number of boys in a randomly selected three-child family. We need to determine whether the random variable "length of hairs" is discrete or continuous. The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. d.N: the number of eggs laid each month by a hen. Are movie time lengths discrete or continuous variables? Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. Seven thousand lottery tickets are sold for \(\$5\) each. 2.17 answered Classify the following random variables as discrete or continuous. begins., A:Given data: P: the number of building permits . Mx(t)=(0.21+0.79et)18. There are about 140 million houses in the, A:Given information- c.M: the amount of milk produced yearly by a particular cow. One ticket will win \(\$1,000\), two tickets will win \(\$500\) each, and ten tickets will win \(\$100\) each. Y : the length of time to play 18 holes of golf. The mean \(\mu\) of \(X\). He makes four sales calls each day. A professional proofreader has a \(98\%\) chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). 0 A discrete random variable \(X\) has the following probability distribution: \[\begin{array}{c|c c c c c} x &77 &78 &79 &80 &81 \\ \hline P(x) &0.15 &0.15 &0.20 &0.40 &0.10 \\ \end{array}\]Compute each of the following quantities. 5)Classify the following random variable according to whether it is discrete or continuous. In a \(\$1\) bet on even, the bettor pays \(\$1\) to play. The number of clerical errors on a medical chart. If the player rolls doubles all three times there is a penalty. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. The number of no-shows for every \(100\) reservations made with a commercial airline. Classify the following random variables as discrete or continuous. time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that Q:The values of P(Z0.1) and P (Z0.1) are the same. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. m(HNO3) = 12,6 Find the probability that Borachio will produce more than three blemished tires tomorrow. So, it is a continuous variable. Tybalt receives in the mail an offer to enter a national sweepstakes. 1) Classify the following random variable according to whether it is discrete or continuous. View this solution and millions of others when you join today! Thus, it is a continuous variable. It is not possible to finish counting the time lengths of all movies. 4 the weight of newborns each year in a hospital 3.) Let \(X\) denote the number of times a fair coin lands heads in three tosses. No. O continuous . Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. O False. The number of new cases of influenza in a particular county in a coming month. of categories (k) = 5 Find the probability that the proofreader will miss at least one of them. First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . number of distinct values. Let \(X\) denote the net gain to the bettor on one play of the game. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. at separates the lower 40 % of the bills from the rest. $$ $$ Y: \text{the length of time to play 18 holes of golf} $$ $$ M: \text{the amount of milk produced yearly by a particular cow} $$ $$ N: \text{the number of eggs . Start your trial now! m(Cu(NO3)2) = ? Variable P consists of number of buildings permit issued which can be counted. Legal. They take positive integer values, {0, 1, 2, , n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values. A traveling salesman makes a sale on \(65\%\) of his calls on regular customers. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. Variable N consists of number of eggs laid which can be counted.
classify the following random variables as discrete or continuous