μ = 70, σ = 3
(a) x = 67
z = (x - μ)/σ = (67 - 70)/3 = -1
P(x < 67) = P(z < -1) = 0.1587
P(x > 67) = P(z > -1) = 0.8413
(b) x = 76
z = (x - μ)/σ = (76 - 70)/3 = 2
P(x < 76) = P(z < 2) = 0.9772
P(x > 76) = P(z > 2) = 0.0228
(c) P(67 < x < 76) = P(-1 < z < 2) = 0.8186
Exercise 4. Male height is normally distributed with mean 70 (a) Jim is 67 inches tall....
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