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 greater than 135.
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bradpaisleyconcertboston Staff answered 3 years ago
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.
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