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.
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
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Chapter1: Starting With Matlab
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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcff5798b-7fe0-40b4-8b2c-b580bf1cfc79%2F2ef9f027-d106-4116-aea1-8e27ba0f257a%2Fgzptrfi_processed.jpeg&w=3840&q=75)
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.
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