In: Statistics and Probability
A: Let z be a random variable with a standard normal
distribution. Find the indicated probability. (Round your answer to
four decimal places.)
P(z ≤ 1.23) =
B: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)
P(z ≥ −1.13) =
C: Let z be a random variable with a standard normal distribution. Find the indicated probability. (Round your answer to four decimal places.)
P(−1.87 ≤ z ≤ −1.24) =
D: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 42; σ = 15
P(50 ≤ x ≤ 70) =
E: Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
μ = 108; σ = 18
P(x ≥ 90) =