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If X has a normal distribution with mean mu and deviation sigma, and Z is the st

ID: 3242962 • Letter: I

Question

If X has a normal distribution with mean mu and deviation sigma, and Z is the standard normal random variable whose cumulative distribution function is P(z lessthanorequalto z) = then which of the following statements are not correct? E. Z = (X - mu)/sigma F. P(a lessthanorequalto X lessthanorequalto b) = Phi[(b - mu)/sigma] - Phi[a - mu)/sigma] G. P(X lessthanorequalto a) = 1 - Phi[(a - mu)/sigma] H. P(X greaterthanorequalto b) = 1 - Phi[(b - mu)/sigma] I. All of the above statements are not correct

Explanation / Answer

Among the above given options

Option E, F&H are correct

But option "G" is incorrect

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