A population is normally distributed with mu = 100 and sigma = 25. Find the probability that a value randomly selected from this population will have a value greater than 135.

nascarchic839e9

nascarchic839e9

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2022-08-17

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 greater than 135.

Answer & Explanation

glasinamaav

glasinamaav

Beginner2022-08-18Added 10 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 greater than 135 can be obtained as:
P(X>135)=P(xμσ>13510025)
=P(Z>1.4)
=1-P(Z<1.4)
=1-0.9192 (Using standard normal table)
=0.0808
Thus, the required probability is 0.0808.

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