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Given that x is a normal variable with mean μ = 108 and standard deviation σ...

Given that x is a normal variable with mean μ = 108 and standard deviation σ = 14, find the following probabilities.

(a)  P(x ≤ 120)


(b)  P(x ≥ 80)


(c)  P(108 ≤ x ≤ 117)

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Answer #1

Given that x is a normal variable with mean μ = 108 and standard deviation σ = 14

We want to find the following probabilities,

a) P(x ≤ 120)

=> P(x ≤ 120) = 0.8051

b) P(x ≥ 80)

=> P(x ≥ 80) = 0.9772



(c)  P(108 ≤ x ≤ 117)



=> P(108 ≤ x ≤ 117) = 0.2389

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