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
1 answer:
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 =
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
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