Question

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 = 15.5; σ = 4.5 P(10 ≤ x ≤ 26) =

b. Now, 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 = 2.9   P(8 ≤ x ≤ 12) =

c. Now, 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 = 103; σ = 12 P(x ≥ 120) =

d. Now, 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 = 2.8; σ = 0.39   P(x ≥ 2) =

Answer 1

Hello SIr/ Mam

(a)

Given that:

Mean =	15.50
Standard Deviation =	4.50

(b)

Given that:

Mean =	14.20
Standard Deviation =	2.90

(c)

Given that:

Mean =	103.00
Standard Deviation =	12.00

(d)

Given that:

Mean =	2.80
Standard Deviation =	0.39

I hope this solves your doubt.

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