Question

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)

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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