A population of values has a normal distribution with \mu=13.2 and \sigma=5.

FizeauV 2021-02-02 Answered

A population of values has a normal distribution with μ=13.2 and σ=5. You intend to draw a random sample of size n=60.
Find the probability that a single randomly selected value is between 11.5 and 14.
P(11.5<X<14)=?
Write your answers as numbers accurate to 4 decimal places.

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Expert Answer

doplovif
Answered 2021-02-03 Author has 71 answers

The probability that a single randomly selected value is between 11.5 and 14 is 0.1966, which is obtained below:
P(x1<X<x2)=P(x1μσ<z<x2μσ)
P(11.5<X<14)=P(11.513.25<z<1413.25)
=P(0.340<z<0.160)
=P(z<0.160)P(z<0.340)[Use standard normal table]
=0.563560.36693=0.1966.

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