Suppose X is a normal random variable with mean 𝜇 = 70 and standard deviation 𝜎 = 5. Find a such that P(X ≥ a) = 0.01. (Round your answer to one decimal place.) a =

Question

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Suppose X is a normal random variable with mean 𝜇 = 70 and standard deviation 𝜎 = 5. Find a such that P(X ≥ a) = 0.01. (Round your answer to one decimal place.)

a =

Answer 1

a=81.65

z charts show z=2.33 with probability of 0.01

70+2.33(5) = 70+ 11.65 = 81.65 P(x> 81.65) = 0.01