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Let z be a random variable with a standard normal distribution. Find the indicat

ID: 3053827 • Letter: L

Question

Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? 0) = Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? ?0.21) = Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? ?2.01) = Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? 1.24) = Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.) P(z ? 2.63) =

Explanation / Answer

a)

P( Z >= 0) = 0.5000 (Calculated from z distribution table)

b)

P( Z <= -0.21) = 1 - P( Z < 0.21)

= 1 - 0.5832

= 0.4168

c)

P( Z <= -2.01) = 1 - P( Z <= 2.01)

= 1 - 0.9778

= 0.0222

d)

P( Z <= 1.24) = 0.8925

e)

P( Z <= 2.63) = 0.9957