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vaieri [72.5K]
3 years ago
14

The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \si

gmaσ = 100 hours. What is the probability that a radio selected at random will last from 600 to 700 hours
Mathematics
1 answer:
Hitman42 [59]3 years ago
8 0

Answer:

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 =\mu = 600 hours

Standard deviation =\sigma = 100 hours

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:Z= \frac{x-\mu}{\sigma}

At x = 600

Z= \frac{600-600}{100}

Z=0

P(X

At x = 700

Z= \frac{700-600}{100}

Z=1

P(X

P(600

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

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