Suppose x equals the number of heads observed when a single coin is tossed; that is, x = 0 or x = 1. The population corresponding to x is the set of 0’s and 1’s generated when the coin is tossed repeatedly a large number of times.

Suppose we select n = 4 observations from this population.

(That is, we toss the coin four times and observe 4 values of x.)

a. List the different samples (combinations of 0’s and 1’s)

that could be obtained.

b. Calculate the value of x for each of the samples.

c. List the values that x can assume, and find the probabilities of observing these values.

d. Construct a graph of the sampling distribution of x.