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The time between the arrivals of electronic messages at your computer is exponentially distributed with a...

The time between the arrivals of electronic messages at your computer is exponentially distributed with a mean of two hours.


a) What is the probability that you do not receive a message during a two-hour period? Solve by using exponential distribution.

b) If you have not had a message in the last four hours, what is the probability that you do not receive a message in the next two hours?

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Answer #1

Answer:

Given that:

The time between the arrivals of electronic messages at your computer is exponentially distributed with a mean of two hours.

let X denote the time until a message received, Then X is an Exponential random variable and \

a) What is the probability that you do not receive a message during a two-hour period? Solve by using exponential distribution.

b) If you have not had a message in the last four hours, what is the probability that you do not receive a message in the next two hours?

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