The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 3 minutes. What is the probability that a person is served in less than 2 minutes on at least 5 of the next 7 days? The probability is (Round to four decimal places as needed.)

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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**Question:**

The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 3 minutes. What is the probability that a person is served in less than 2 minutes on at least 5 of the next 7 days?

**Solution:**

The probability is _____. (Round to four decimal places as needed.)
Transcribed Image Text:**Question:** The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a mean of 3 minutes. What is the probability that a person is served in less than 2 minutes on at least 5 of the next 7 days? **Solution:** The probability is _____. (Round to four decimal places as needed.)
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