Find the value of k such that ProbZ lessthanorequalto k 026

Find the value of k such that Prob(Z lessthanorequalto k) = 0.2643 Y is a random variable that is distributed N(3, 0.0225). Find the value of k such that Prob(Y lessthanorequalto k) = 0.0401

Solution

Solution : ( 4 )

Let Z be a standard normal random variable: µ = 0 and = 1.

According to the table of cumulative probabilities: P(Z k) = 0.2643

P(Z 0.63) = 0.2643

Hence , k = - 0.63