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.)
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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b4ff4f7-2c8f-41ef-8afc-ff3d6486dbd5%2Fa3c9addc-7fc9-4573-acd4-2a2515d8c8de%2Fzqx0v9t_processed.png&w=3840&q=75)
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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