Approximately 833 of men are colorblind you survey 8 men

Approximately 8.33% of men are colorblind. You survey 8 men from the population of large city and count the number who are colorblind.

a) What is a "success" in this situation and what is probability of success on a single trial?

b) Explain in words what X is in terms of the story and what values it can take on.

c) What are the distribution and parameters of X?

d) What is the probability that exactly 2 will be colorblind?

e) What is the probability that at MOST 6 will be colorblind?

f) How many would you have to survey in order to be at least 95% sure that you find at least 1 who is colorblind?

g) What is the expected value and variance of X?

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