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Problem 3. The time (in minutes) until the third customer of the day enters a store is a random variable X. Suppose X follows a gamma distribution with a = 3 and 3 = 5. If the store opens at 8 am, find the probability that (1) the third customer arrives between 8:05 am and 8:10 am. (2) the third customer arrives after 8:10 am. (3) the third customer arrives before 8:15 am.

Problem 3. The time (in minutes) until the third customer of the day enters a store is a random variable X. Suppose X follows a gamma distribution with a = 3 and 3 = 5. If the store opens at 8 am, find the probability that (1) the third customer arrives between 8:05 am and 8:10 am. (2) the third customer arrives after 8:10 am. (3) the third customer arrives before 8:15 am.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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 3. The time (in minutes) until the third customer of the day enters a store is a random variable X. Suppose X follows a gamma distribution with a = 3 and 35. If the store opens at 8 am, find the probability that (1) the third customer arrives between 8:05 am and 8:10 am. (2) the third customer arrives after 8:10 am. (3) the third customer arrives before 8:15 am.
Transcribed Image Text:Problem 3. The time (in minutes) until the third customer of the day enters a store is a random variable X. Suppose X follows a gamma distribution with a = 3 and 35. If the store opens at 8 am, find the probability that (1) the third customer arrives between 8:05 am and 8:10 am. (2) the third customer arrives after 8:10 am. (3) the third customer arrives before 8:15 am.
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