Question

Suppose the length in cm of a male soccer player's foot follows a Normal distribution with mean 31 and variance 25. Suppose the length in cm of a female soccer player's foot follows a Normal distribution with mean 26 and variance 16. A male and female soccer player are selected at random. What is the probability the female player has a longer foot than the male player?

Question 13 options:

	0.05
	0.22
	0.29
	0.78
	0.95

Independently of one another, a randomly surveyed individual can be a non-smoker, a light smoker, or a heavy smoker with probabilities 50%, 40% and 10%, respectively. Suppose we randomly survey a sample of 100 people. Given that 34 of them are light smokers, what is the expected number of heavy smokers?

Question 14 options:

	6.6
	11
	33
	55
	None of the above

The Princess Theatre has 280 seats. 200 tickets are sold for the new popular movie: The Attack of the Goose. Despite every attendee having an assigned seat, they all decide to sit in seats at random. Find the variance of the number of people sitting in their assigned seat. (Hint: use indicator variables)

Question 15 options:

	0.712
	0.714
	5.246
	11.704
	None of the above

Answer 1