Aquality control expert at glotech computers wants to test their new monitors. the production manager claims they have a mean life of 89 months with a standard deviation of 5 months. if the claim is true, what is the probability that the mean monitor life would be less than 87.8 months in a sample of 123 monitors? round your answer to four decimal places.

0.0039

Step-by-step explanation:

Let x be a random variable that represents the mean life of computers .

As per given , we have

months

months

sample size : n= 123

We assume that the mean life of new computers is approximately normally distributed.

∵

Then for x= 87.8

The probability that the mean monitor life would be less than 87.8 months in a sample of 123 monitors :-

Hence, the probability that the mean monitor life would be less than 87.8 months in a sample of 123 monitors = 0.0039

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