Answer questions 1-5 based on the probability distribution table below :

x	0	1	2	3
p(x)	.1	.2	.3	.4

1. List the values that x may assume. 2. What value of x will occur most often? 3. What is the probability that x will be greater than two? 4. Calculate the expected value for the data set. 5. Calculate the variance for the data set. A discrete random variable x can assume five possible values: 5, 10, 15, 20, and 25. Answer questions 4-8 based on the probability distribution shown here:

x	5	10	15	20	25
p(x)	.15	?	.25	.25	.25

6. What is the probability that x = 10? 7. What is the probability of x < 10? 8. If we constructed a histogram would the data be skewed or symmetric? 9. Calculate the expected value (mean) given the probability distribution above. 10. Calculate the variance given the probability distribution above. 11. Explain the process of calculating the variance.