Question

X 6.4.5-T

Answer 1

Same strategy as before: transform X ∼ Normal(76.0, 12.5) to Z ∼ Normal(0, 1) via

Z = (X - µ) / σ   ↔ X = µ + σ Z

where µ is the mean and σ is the standard deviation of X.

P(X < 79) = P((X - 76.0) / 12.5 < (79 - 76.0) / 12.5)

… = P(Z < 0.24)

… ≈ 0.5948