Find a value of the standard normal random variable z, call it zo. such that the

Question

Find a value of the standard normal random variable z, call it zo. such that the following probabilities are satisfied. e Home work a. P(ZSZo)0.0338 es & Test b, P(-zo szszo)=0.90 e. P(-Zo Szso)-0.3188 f. P-2 zo) 0.5 h, P(z zo) = 0.0026 cPl-zo5 z zo) = 0.99 dPl-zo s z s zo) = 0.8074 Plan zo-O (Round to two decimal places as needed.) Crunch pter Conten xt ls for Succes Enter your answer in the answer box and then click Check Answer. Clear All parts rchase Optioremaining pe here to search F12 F11

Explanation / Answer

A) P(Z < z0) = 0.0338

Or, z0 = - 1.83

B) P(-z0 <Z < z0) = 0.9

Or, 2P(Z < z0) - 1 = 0.9

Or, P(Z < z0) = 0.95

Or, z0 = 1.65

C) P(-z0 < Z < z0) = 0.99

Or, 2P(Z < z0) - 1 = 0.99

Or, P(Z < z0) = 0.995

Or, z0 = 2.58

D) P(-z0 < Z < z0) = 0.8074

Or, P(Z < z0) = 0.9037

Or, z0 = 1.3

E) P(-z0 < Z < 0) = 0.3188

Or, P(Z < 0) - P(Z < - z0)= 0.3188

Or, 0.5 - P(Z < z0) = 0.3188

Or, P(Z < - z0) = 0.1812

Or, z0 = 0.91

F) P(-2 < Z < z0) = 0.9549

Or, P(Z < z0) - P(Z < - 2) = 0.9549

Or, P(Z < z0) - 0.0228 = 0.9549

Or, P(Z < z0) = 0.9777

Or, z0 = 2.01

G) P(Z > z0) = 0.5

Or, z0 = 0

H) P(Z < z0) = 0.0026

Or, z0 = - 2.8

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