In Europe, 8% of men are colorblind.20 Consider taking repeated samples of 20 European men. a. What is the mean number of colorblind men?
b. What is a "failure" in this situation? What is the probability of a failure on a single trial?
c. Explain in words what X is in this situation and what values it can take.
d. Why is this a Binomial distribution situation? What are the parameters?
e. What is the probability exactly 2 will be colorblind?
f. What is the probability that 6 or fewer will be colorblind?
g. How many men would you have to survey in order to be at least 95% sure you would find at least 1 who is colorblind?
h. What is the expected value of X?
i. What is the variance of X?
j. Show the labeled graph of the mass for this story, k. Show the labeled graph of the CDF for this story.