Color-blindness 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). Color-blindness is gender-based, 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 color-blind. Let Y be the number of females (out of the 40) who are color-blind. Let Z be the total number of color-blind individuals in the sample (males and females together).Which of the following is true regarding the random variables X and Y?
A) Both X and Y can be well approximated by normal random variables.
B) Only X can be well approximated by a normal random variable.
C) Only Y can be well approximated by a normal random variable.
D) Neither X nor Y can be well approximated by a normal random variable.
