MAT 202 Quiz 14 RANDOM VARIABLES CHECKPOINT 3

RANDOM VARIABLES CHECKPOINT 3
P 158
Step 1 of 1
These three questions refer to the following information:

Color­blindness is any abnormality of the color vision system that causes a person to see colors
differently than most people, or to have difficulty distinguishing among certain colors (www.visionrx.com).

Color­blindness is gender­based, with the majority of sufferers being males.

Roughly 8% of white males have some form of colorblindness, while the incidence among white females
is only 1%.

A random sample of 20 white males and 40 white females was chosen.

Let X be the number of males (out of the 20) who are color­blind.

Let Y be the number of females (out of the 40) who are color­blind.

Let Z be the total number of color­blind individuals in the sample (males and females together).

Question 1 of 3Points: 10 out of 10
Which of the following is true about the random variables X, Y, and Z?
X is binomial with n = 20 and p = .08.


Y is binomial with n = 40 and p = .01.


Z is not binomial.


All of the above are true.


Only (A) and (B) are true.


Good job! X represents the number of color­blind males out of a random
sample of 20 → X is binomial with n = 20 and p = 0.08. Y represents the
number of color­blind females out of a random sample of 40 → Y is also
binomial with n = 40 and p = 0.01. Z represents the total number of color­blind


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