When a normal random variable Y is transformed to a standard normal random variable Z, the 3.4.1 _value of Z is 1 and 3.4.2 value is 0. The probability density function for a standard normal random variable is f(z) = 3.4.3 Y possesses the density function f(V) = {2(2- y), 0 < y< 2 0, elsewhere S2(2 –: with the mean = 2/3 and the variance = 2/9. Using we find that: P(\Y - µl < 20) = P(Y-< 0.9428) = P(-.2761 < Y < 1.609).

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