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 t
...
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
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