Question

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

A) μ = 4; σ = 2

P(3 ≤ x ≤ 7) =

B) μ = 15.8; σ = 4.1

P(10 ≤ x ≤ 26) =

C) μ = 39; σ = 15

P(50 ≤ x ≤ 70) =

D) μ = 5.3; σ = 1.7

P(7 ≤ x ≤ 9) =

E) μ = 13.2; σ = 3.6

P(8 ≤ x ≤ 12) =

F) μ = 49; σ = 13

P(40 ≤ x ≤ 47) =

G) μ = 28; σ = 3.4

P(x ≥ 30) =

H) μ = 103; σ = 15

P(x ≥ 120) =

I) μ = 109; σ = 20

P(x ≥ 90) =

J) μ = 2.3; σ = 0.37

P(x ≥ 2) =

Answer 1

Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.5, TRUE)" & "=NORM.S.DIST(-0.5, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(2.49, TRUE)" & "=NORM.S.DIST(-1.41, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(2.07, TRUE)" & "=NORM.S.DIST(0.73, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(2.18, TRUE)" & "=NORM.S.DIST(1, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.33, TRUE)" & "=NORM.S.DIST(-1.44, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.15, TRUE)" & "=NORM.S.DIST(-0.69, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(0.59, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.13, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.95, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.81, TRUE)" to find the probability.