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.

1 Answers

Best Answer

From the provided information,
Population mean (mu) = 100
Population standard deviation (sigma) = 25
X sim N (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 ((x- mu)/ (sigma)> (135-100)/(25))
=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.