Statistics > QUESTIONS & ANSWERS > Straighterline - MAT 202Quiz 14 RANDOM VARIABLES CHECKPOINT 3. All Answers 100%. (All)

Straighterline - MAT 202Quiz 14 RANDOM VARIABLES CHECKPOINT 3. All Answers 100%.

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RANDOM VARIABLES CHECKPOINT 3 P 158 Step 1 of 1 These three questions refer to the following information: 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.com). 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). 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. Question 2 of 3Points: 10 out of 10 What is the probability that exactly 2 of the 20 males are color-blind? (Note: Some answers are rounded.) .08 .2711 .0143 .5422 .0159 Good job! We need to find P(X = 2) where X is binomial with n = 20 and p = 0.08. Question 3 of 3Points: 10 out of 10 What is the mean and standard deviation of the random variable Y (the number of females out of 40 who are color blind)? Answers may be rounded. mean= 40, standard deviation=.01 mean =.01, standard deviation = 40 mean =0.4, standard deviation = .629 mean = 0.4, standard deviation = .396 We cannot find the mean and standard deviation since the probability distribution table is not given. respectively. In this case and [Show More]

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