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- September 13, 2020
- By menge

Suppose that a random variable x has normal distribution with mean=80 and standard deviation=18. Calculate the following probabilities for the sample mean if the sample size is 36.

(a) P(x<82)

(b) P(81<x<84)

Ans :?¿

Let X i , ( 1? i ? 36 ) be the iid has normal distribution withmean ?=80?¿

Standard Deviation ?=18

36 ? Xi ´

Let us define X= i=1

36 Now use Centrallimit theorem

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X??

N…