In: Statistics and Probability
(a) 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 = 41; σ = 16
P(50 ≤ x ≤ 70) =
(b) 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 = 14.2; σ = 3.7
P(8 ≤ x ≤ 12) =
(c) 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 = 20; σ = 4.4
P(x ≥ 30) =
(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 = 104; σ = 12
P(x ≥ 90) =