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The length of time for one individual to be served at a cafeteria is a random...

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 4 minutes.

What is the probability that a person is served in less than 2 minutes on at least 5 of the next 7 days

CALCULATE PROBİBİLİTY

​(Round to four decimal places as​ needed.)

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Answer #1

For an exponential random variable X, the probability distribution function is

P(X < 2.0) = ?

P(X < 2.0) = 0.3935

This is a binomial distribution question with n = 7

p = 0.3935

q = 1 - p = 0.6065

where

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