
(a)
To find:
The number of different schedules possible if he needs to have an equal number of symphonies from Mozart, Haydn, and Schubert.
(a)

Answer to Problem 13E
The number of different schedules possible if he needs to have an equal number of symphonies from Mozart, Haydn, and Schubert is
Explanation of Solution
Given:
In choosing music to play at a charity fund-raising
Formula Used:
Formula to calculate the number of combinations,
Where, n is the number of distinct objects, and r is the number of objects selected from a group of n distinct objects.
Calculation:
12 songs can be played in the show from 41 Mozart, 104 Haydn and 8 Schubert symphonies. If an equal number of songs are to be chosen from Mozart, Haydn And Schubert, Marlow must choose 4 symphonies of Mozart, Haydn And Schubert.
4 Mozart symphonies out of 41 can be chosen:
4 Haydn symphonies out of 104 can be chosen:
4 Schubert symphonies out of 8 can be chosen:
Total number of arrangements:
The number of different schedules possible if he needs to have an equal number of symphonies from Mozart, Haydn, and Schubert is:
Thus, the number of different schedules possible if he needs to have an equal number of symphonies from Mozart, Haydn, and Schubert is
(b)
To find:
The probability that all 12 symphonies are by Mozart, if the songs are chosen randomly.
(b)

Answer to Problem 13E
The probability that all 12 symphonies are by Mozart, if the songs are chosen randomly is
Explanation of Solution
Calculation:
There are 41 Mozart, 104 Haydn and 8 Schubert symphonies, and 12 songs are to be chosen randomly in
if all 12 symphonies are by Mozart, it can be chosen in
The required probability is:
Thus, the probability that all 12 symphonies are by Mozart, if the songs are chosen randomly is
Want to see more full solutions like this?
Chapter 4 Solutions
Beginning Statistics, 2nd Edition
- Suppose that you have a normal population of quiz scores with mean 40 and standard deviation 10. Select a random sample of 40. What’s the chance that the mean of the quiz scores won’t exceed 45?Select one individual from the population. What’s the chance that his/her quiz score won’t exceed 45?arrow_forwardSuppose that you take a sample of 100 from a population that contains 45 percent Democrats. What sample size condition do you need to check here (if any)?What’s the standard error of ^P?Compare the standard errors of ^p n=100 for ,n=1000 , n=10,000, and comment.arrow_forwardSuppose that a class’s test scores have a mean of 80 and standard deviation of 5. You choose 25 students from the class. What’s the chance that the group’s average test score is more than 82?arrow_forward
- Suppose that you collect data on 10 products and check their weights. The average should be 10 ounces, but your sample mean is 9 ounces with standard deviation 2 ounces. Find the standard score.What percentile is the standard score found in part a of this question closest to?Suppose that the mean really is 10 ounces. Do you find these results unusual? Use probabilities to explain.arrow_forwardSuppose that you want to sample expensive computer chips, but you can have only n=3 of them. Should you continue the experiment?arrow_forwardSuppose that studies claim that 40 percent of cellphone owners use their phones in the car while driving. What’s the chance that more than 425 out of a random sample of 1,000 cellphone owners say they use their phones while driving?arrow_forward
- Suppose that the average length of stay in Europe for American tourists is 17 days, with standard deviation 4.5. You choose a random sample of 16 American tourists. The sample of 16 stay an average of 18.5 days or more. What’s the chance of that happening?arrow_forwardHow do you recognize that a statistical problem requires you to use the CLT? Think of one or two clues you can look for. (Assume quantitative data.)arrow_forwardSuppose that you take a sample of 100 from a skewed population with mean 50 and standard deviation 15. What sample size condition do you need to check here (if any)?What’s the shape and center of the sampling distribution for ?What’s the standard error?arrow_forward
- Question 3 The following stem-and-leaf displays the weekly salary of employees at this firm. Stem-and-Leaf Display Leaf Unit = 10.0 N=x 5 3 00123 12 4 0125888 (y) 5 11234456777 z 6 13568 5 7 154 2 8 46 i. Determine the value of x, y and z. [3] ii. What is the value of the median? [2] iii. Find the mode of this data set. iv. Calculate the range [1] [2]arrow_forwardLet Y be a continuous RV with PDF otherwise Find the CDF, Fry), of Y . Find an expression for pth, p € (0, 1), quantile of the distribution. Find E(Y) and V(Y). Find E(-2Y + 1) and V(-3Y - 2). Find E(Y3).arrow_forwardLet X be a continuous RV with CDF Find P(X < 0), P(-1 < X < 1) and P(0.5 < X). Based on your answers to the above questions, what is the median of the distribu-tion? Why Find the PDF, fx (x), of X.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman





