Question 1 Select one answer. 10 points Colorblindness is any abnormality of the

Question

Question 1

Select one answer.

10 points

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 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 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).

Which of the following is true regarding the random variables X and Y?

Both X and Y can be well approximated by normal random variables.

Only X can be well approximated by a normal random variable.

Only Y can be well approximated by a normal random variable.

Neither X nor Y can be well approximated by a normal random variable.

Explanation / Answer

HERE THE MOST CORRECT OPTION IS C

ONLY Y CAN BE APPROXIMATED BY NORMAL RANDOM VARIABLE.

AS NORMAL APPROXIMATION COMES FROM CENTRAL LIMIT THEOREM

WHICH IS RECOMENDED TO USE FOR N>30

WHICH IS NOT THE CASE FOR X AS IN X N IS 20.

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