Question

Problem 97c

Answer 1

Given information

Use the following information to answer the next three exercises. The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.

In major league baseball, a no-hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No-hitters occur at a rate of about three per season. Assume that the duration of time between no-hitters is exponential.

Step-by-step explanation

Step 1.

For the required probability, the random variable will follow poison distribution with mean and the required probability can be written as .

The required probability can be written as,

 

The goal is to calculate using the calculator for this click on  then DISTR and then scroll down Poissoncdf option and enter given details as Poissoncdf(3,3). Substitute the value in equation  we get,

 

Therefore, the probability is

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