RANDOM VARIABLES CHECKPOINT Color-blindness is any abnormality of the color visi
ID: 3055047 • Letter: R
Question
RANDOM VARIABLES CHECKPOINT 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.xom) Color-blindness is gender-based, with the majority of sufferers being males. Roughly 8% of white males have some form of color blindness, while he nodence among white iema sis only 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-bilind Let Z be the total number of color blind Individuals in the sample (males and temales together Points: 10 Question 1 of 4 Which of the following is true regarding the random variables X and ? Both X and Y can be well approximated by normal random variables Only X can be well aperoximated by a normal random variable Oely Y can be wel approximated by a normal rendo o Nether X.nor Y can be well approximated by a normal random varable The remaining questions refer to the following information Type here to searchExplanation / Answer
Q1)
For males, n =20 , p = 0.08
np = 20*0.08 = 1.6 <10
nq =20*0.92 =18.4>10
For females, n= 40, p =0.01
np = 40*0.01 =0.4 < 10
nq = 40*0.99 = 39.6> 10
Answer: Neither X nor Y can be well approximated by a normal random variable.
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