Let X be the total time to process a passport application by the state depart- ment. It is known that X is uniformly distributed between 3 and 7 weeks. (a) Find f(x). (b) What is the probability that an application will be processed in fewer than 3 weeks ? (c) What is the probability that an application will be processed in 5 weeks or less ?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 33.1
Let X be the total time to process a passport application by the state depart-
ment. It is known that X is uniformly distributed between 3 and 7 weeks.
(a) Find f(x).
(b) What is the probability that an application will be processed in fewer
than 3 weeks ?
(c) What is the probability that an application will be processed in 5 weeks
or less ?
Transcribed Image Text:Problem 33.1 Let X be the total time to process a passport application by the state depart- ment. It is known that X is uniformly distributed between 3 and 7 weeks. (a) Find f(x). (b) What is the probability that an application will be processed in fewer than 3 weeks ? (c) What is the probability that an application will be processed in 5 weeks or less ?
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