1. Consider the following probability distribution for a random variableX.

x	2	7	10
p(x)	0.20	0.55	?

where the question mark represents a missing probability. Find the missing probability, then calculate E(X2) E(X2)

(Give your response to at least 3 decimal places. Include only the numeric response, and not any extra characters or symbols.)

2. Suppose that during the summer months in a certain town, car accidents occur at a rate of 1.1 per week. And suppose these accidents can, to a reasonable approximation, be thought of as occurring randomly and independently of one another. In a randomly selected week in the summer months, what is the probability there are one or two accidents?

(Give your response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.)

3. Suppose a random variableX has a normal distribution with a mean of 334 and a standard deviation of 3. What is the 10th percentile of the distribution ofX?

(Give your response to at least 3 decimal places. Give only the numeric response, and not any extra characters or symbols.)