5. 362 households were surveyed. The findings are summarized in the following table.

	Have at least one maxed-out credit card	Do not have any maxed-out credit cards
Homeowner	99	70
Home renter	113	80

a. What is the probability that a randomly selected household has at least one maxed-out credit card? Consider only 3 decimals for your final answer.

b. What is the probability that a randomly selected household owns their house? Consider only 3 decimals for your final answer.

c. Are the events that a household has at least one maxed-out credit card and they own their house independent? Justify your answer.

Note: in parts a. and b. probability is the same as proportion.

6. A company produces laptops. Their products have 1 or 2 or 3 USB ports. The proportion of laptops based on the number of USB ports on them is given by the following pmf:

() = (4 )³; = 1, 2, 3 ( )

Note: (),() and () are the proportion of laptops with one, two and three USB ports, respectively.

a. What is the value of the constant C?

b. Let the random variable be the number of USB ports on a randomly selected laptop. What is the mean of ?

c. What is the variance of ?