Question

Suppose the time it takes for calls to a telephone call
center to be answered is normally distributed with a
mean of 145 seconds and a standard deviation of 16
seconds.
Find the probability that your call will be answered in
less than 165 seconds.
Answer:
%

Answer 1

Respuesta:

P(X ≤ 165) = 0,1056 x 100 = 10,56%

Explicación:

μ = 145 seconds

σ = 16 seconds

P(X ≤ 165) = 1 - P[Z ≥ (165 - 145)/16]

P(X ≤ 165) = 1 - P[Z ≥ (165 - 145)/16]

P(X ≤ 165) = 1 - P(Z ≥ 1,25)

P(X ≤ 165) = 1 - 0,8944

P(X ≤ 165) =  0,1056  

Good luck

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