About 12% of people in the United States do not wear a seat belt.Suppose we take a random sample of 180 U.S. residents, and

let X = the number of people who do not wear their seat belt.

a.Calculate the mean of the sampling distribution of X.

b.Calculateand Interpret thestandard deviation of the sampling distribution of X.

c.Justify that the distribution of X is approximately normal. (Large Counts Condition)

d.Use the normal distribution to calculate the probability that 25 or more individuals in the sample do not wear their seat belts,