The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \sigmaσ = 100 hours. What is the probability that a radio selected at random will last from 600 to 700 hours

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

Mean =

Standard deviation =

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula:

At x = 600

Z=0

At x = 700

Z=1

Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413

it is probably the graph on the bottom right.

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step-by-step explanation: