Suppose X has a symmetric continuous probability distribution with E(X)=82, and P(X>100) =0.2, what is P(64<X<100)? (Hint: Remember E(X) or expected value of X, is the average of X)
Given : E(X)=82 , P(X>100)=0.2
Therefore,

;
...........(1)
From standard normal probability table ,
..........(2)
From (1) and (2)


Now ,






; From standard normal probability table

Suppose X has a symmetric continuous probability distribution with E(X)=82, and P(X>100) =0.2, what is P(64<X<100)?...
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