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(solution) Suppose that a random variable x has normal distribution with


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

 

´

 

X??

 

N...

 


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Sep 13, 2020

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