Find the following probabilities for a standard normal random variable Z. Note: Round your answers to...

Find the following probabilities for a standard normal random variable Z.
Note: Round your answers to four decimal places.

A) P(Z < -1.47)

B) P(Z > 2.20)

C) P(Z > -1.17)

D) P(Z < 1.30)

Solutions

Expert Solution

Using standard normal z-table we find following probabilities,

A) P(Z < -1.47) = 1 - P(Z < 1.47) = 1 - 0.9292 = 0.0708

=> P(Z < -1.47) = 0.0708

B) P(Z > 2.20) = 1 - P(Z < 2.20) = 1 - 0.9861 = 0.0139

=> P(Z > 2.20) = 0.0139

C) P(Z > -1.17) = P(Z < 1.17) = 0.8790

=> P(Z > -1.17) = 0.8790

D) P(Z < 1.30) = 0.9032

orchestra answered 1 year ago

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