For a one-hour television broadcast, the mean show time (not including commercials) is 45.2 minutes with a standard deviation of 5 minutes. You may assume that the show times are normally distributed. Round your answers to four decimals for parts A and B, and use one decimal for part C. a. If one broadcast is selected at random, find the probability that the broadcast contains at least 38.3 minutes of show time. b. In a sample of 48 one hour broadcasts, find the probability that the mean of their total show times is less than 47.1 minutes. c. Find the twenty-fifth percentile, P25, the show time that separates the lower 25% of show times from the rest.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
For a one-hour television broadcast, the mean show time (not including commercials) is 45.2 minutes
with a standard deviation of 5 minutes. You may assume that the show times are normally distributed.
Round your answers to four decimals for parts A and B, and use one decimal for part C.
a. If one broadcast is selected at random, find the probability that the broadcast contains at least 38.3
minutes of show time.
b. In a sample of 48 one hour broadcasts, find the probability that the mean of their total show times
is less than 47.1 minutes.
c. Find the twenty-fifth percentile, P25, the show time that separates the lower 25% of show times
from the rest.
Transcribed Image Text:For a one-hour television broadcast, the mean show time (not including commercials) is 45.2 minutes with a standard deviation of 5 minutes. You may assume that the show times are normally distributed. Round your answers to four decimals for parts A and B, and use one decimal for part C. a. If one broadcast is selected at random, find the probability that the broadcast contains at least 38.3 minutes of show time. b. In a sample of 48 one hour broadcasts, find the probability that the mean of their total show times is less than 47.1 minutes. c. Find the twenty-fifth percentile, P25, the show time that separates the lower 25% of show times from the rest.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 32 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman