A population is normally distributed with mu = 100 and sigma = 2. Find the probability that a value randomly selected from this population will have a value less than 95.

Leonidas Cook

Leonidas Cook

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2022-08-20

A population is normally distributed with μ=100 and σ=25.
Find the probability that a value randomly selected from this population will have a value less than 95.

Answer & Explanation

suprakarmay5

suprakarmay5

Beginner2022-08-21Added 8 answers

From the provided information,
Population mean (μ ) = 100
Population standard deviation (σ ) = 25
XN(100,25)
The required probability that a value randomly selected from this population will have a value less than 95 can be obtained as:
P(X<95)=P(xμσ<9510025)
=P(Z<-0.2)
=0.4207 (Using standard normal table)
Thus, the required probability is 0.4207.

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