A population is normally distributed with mu = 100 and sigma = 25.

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3 years ago
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.
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ena Staff answered 3 years ago
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.
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