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 between 95 and 135.

1 Answers

Best Answer

From the provided information,
Population mean (mu) = 100
Population standard deviation (sigma) = 25
Xsim N (100, 25)
The required probability that a value randomly selected from this population will have a value between 95 and 135 can be obtained as:
P(95< X<135)=P((95-100)/(25)< (x-mu)/(sigma) <(135-100)/(25))
=P(-0.2< Z<1.4)
=P(Z<1.4)-P(Z<-0.2)
=0.9192-0.4207 (Using standard normal table)
=0.4985
Thus, the required probability is 0.4985.