One of the tallest living men has a height of 236 cm. one of the tallest living women is 224 cm tall. heights of men have a mean of 170 cm and a standard deviation of 6 cm. heights of women have a mean of 161 cm and a standard deviation of 5 cm. relative to the population of the same gender, who is taller? explain. choose the correct answer below.
a. the woman is relatively taller because the z score for her height is greater than the z score for the man's height.
b. the man is relatively taller because the z score for his height is less than the z score for the woman's height.
c. the man is relatively taller because the z score for his height is greater than the z score for the woman's height.
d. the woman is relatively taller because the z score for her height is less than the z score for the man's height.

A. The woman is relatively taller because the z score for her height is greater than the z score for the man's height.

Step-by-step explanation:

Whoever has the highest z-score, is taller relative to the population of the same gender.

The z-score of a value X in a set with mean and standard deviation is given by:

Solution:

Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:

Heights of women have a mean of 161 cm and a standard deviation of 5 cm.

One of the tallest living women is 224 cm tall. The z-score of the women's height is

The women has a higher z-score, so she is relatively taller.

The correct answer is A

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0