. Answers for Z-values should be 2 decimals, probabilities should be 3 decimals, X-values 1 decimal....

Answers for Z-values should be 2 decimals, probabilities should be 3 decimals, X-values 1 decimal. If σ_X = the standard deviation (SD) of X and µ_X = the mean of X, then:

Z Formula 1: X to Z → Z₀ = (X₀ - µ_X) / σ_X

Z Formula 2: Z to X → X₀ = µ_X + (Z₀ * σ_X)

Given μ_X = 8.3, σ_X = 3.2

a) Find X₀ such that prob(X₀ < X < 10) = .38

b) Find X1 such that prob(5.1 < X < X1) = .59

c) Find the 78.81^st percentile of X

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orchestra answered 1 year ago

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