For each probability and percentile problem, draw the picture. A subway train on the Red Line arrives every 7 minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution.   (1) Give the distribution of X. X~ _____ ( 0  ,   7  )   (2) Find the probability that the commuter waits less than one minute. (Enter your answer as a fraction.)   (3)Find the probability that the commuter waits between four and five minutes. (Enter your answer as a fraction.)   (4) State "70% of commuters wait more than how long for the train?" in a probability question. (Enter your answer to one decimal place.) Find the probability that the commuter waits more than ______ minutes. Draw the picture and find the probability. (Enter your answer to one decimal place.)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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For each probability and percentile problem, draw the picture.

A subway train on the Red Line arrives every 7 minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution.

 

(1) Give the distribution of XX~ _____ ( ,   7  )

 

(2) Find the probability that the commuter waits less than one minute. (Enter your answer as a fraction.)

 

(3)Find the probability that the commuter waits between four and five minutes. (Enter your answer as a fraction.)

 

(4) State "70% of commuters wait more than how long for the train?" in a probability question. (Enter your answer to one decimal place.)

Find the probability that the commuter waits more than ______ minutes.
Draw the picture and find the probability. (Enter your answer to one decimal place.)
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