Question

In: Statistics and Probability

(a) Assume that x has a normal distribution with the specified mean and standard deviation. Find...

(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) =

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