Consider the population described by the probability distribution shown below. The random variable x is observed twice with independent observations.

x 0 1 2 3 p1x2 .3 .2 .3 .2 Sample Probability Sample Probability 0, 0 .09 2, 0 .09 0, 1 .06 2, 1 .06 0, 2 .09 2, 2 .09 0, 3 .06 2, 3 .06 1, 0 .06 3, 0 .06 1, 1 .04 3, 1 .04 1, 2 .06 3, 2 .06 1, 3 .04 3, 3 .04

a. Complete the sampling distribution table. Type the values of x in ascending order.

b. Construct a probability histogram for the sampling distribution of x.

c. What is the probability that x is 3 or larger?

d. Would you expect to observe a value of x equal to 3 or larger? Explain.