Question

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 = 15.1; σ = 4.0

P(10 ≤ x ≤ 26) =

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 = 38; σ = 14

P(50 ≤ x ≤ 70) =

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 = 6.0; σ = 1.6

P(7 ≤ x ≤ 9) =

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 = 24; σ = 3.4

P(x ≥ 30) =

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 = 102; σ = 19

P(x ≥ 90) =

Answer 1

Q.1) Given that, mean (μ) = 15.1 and

standard deviation = 4.0

We want to find, P(10 ≤ X ≤ 26)

=> P(10 ≤ X ≤ 26) = 0.8874

Q.2) Given that, mean (μ) = 38 and

standard deviation = 14

We want to find, P(50 ≤ X ≤ 70)

=> P(50 ≤ X ≤ 70) = 0.1846

Q.3) Given that, mean (μ) = 6.0 and

standard deviation = 1.6

We want to find, P(7 ≤ X ≤ 9)

=> P(7 ≤ X ≤ 9) = 0.2356

Q.4) Given that, mean (μ) = 24 and

standard deviation = 3.4

We want to find, P(X ≥ 30)

=> P(X ≥ 30) = 0.0388

Q.5) Given that, mean (μ) = 102 and

standard deviation = 19

We want to find, P(X ≥ 90)

=> P(X ≥ 90) = 0.7362