Normal Random Variable Only answer A C E Find the following

Normal Random Variable (Only answer A, C, E)

Find the following probabilities for a standard normal random variable Z. P(Z less than or equal to 1.2) P(-1.5 less than or equal to Z) P(-1.4 less than or equal to Z less than or equal to -0.2) p(-0.25 less than or equal to Z less than or equal to 1.76) P(|Z| greater than or equal to 2)

Solution

a. P(Z <=1.2) = 0.88493 (From tables)

c. P(-1.4 <= Z <=-0.2) = P(Z<= -0.2) - P(Z<= -1.4) = 0.42074 - 0.08076 = 0.33998

e. P( |Z| >2) = P(Z<-2) + P(Z>2) = 0.02275 + 0.02275 = 0.0455