The heights of a certain group of adult males were found to be normally distributed. The mean of the height is 170 cm with a standard deviation of 6 cm. In a group of 1,200 of these males, about how many would be more than 164 cm tall?
P(X > 164) now the corresponding z is,
z = (X - μ)/σ
z = (164 - 170)/6
z = -6/6
z = -1 (table value against it will be 0.15866)
P(z > 0.15866) = 1 - 0.15866
=P(z > 0.15866) = 0.84134 =0.84134 * 1200 = 1009.608 ≈ 1010 hope it helps
