Use the probability distribution below to answer questions 26 and 27.

Consider the following probability distribution function.

x	0	1	2	3	4	5	6
P(X)	0.07	0.19	0.23	0.17	0.16	0.14	0.04

26. What is the expected value of X?

a. 2.74

b. 0.46

c. 1.78

d. 3.02

27. What is the standard deviation of X?

(a) 13.25

(b) 2.63

(c) 1.62

(d) 4.13

28. On average, there are 3.2 defects in a sheet of rolled steel. Assuming that the number of defects follows a Poisson distribution, what is the probability of a roll having 3 or more defects?

(a) 0.354

(b) 0.398

(c). 0.412

(d) 0.620

29. The probability that a person catches a cold during the flu season is 0.4. If 10 people are

chosen at random, what is the probability that more than four of them will catch a

cold?

(a) 0.50

(b) 0.62

(c) 0.54

(d) 0.37

30. The probability that a person catches a cold during the flu season is 0.4. If 10 people are

chosen at random, what is the standard deviation for the number of persons catching a

cold?

(a) 1.55

(b) 0.04

(c) 0.62

(d) 0.43