14. Assume that a procedure yields a binomial probability model with a
trial repeated n = 5 times. Suppose the probability of success on a
single trial is p = 0.47. Then X counts the number of successes among
5 trials. Describe the distribution (probability model) by filling out
the table below. Round calculations to three decimal places.
x P (X = x)
0
1
2
3
4
5
15. College campuses are graying! According to a recent article, one
in four college students is age 30 or older. Many of these students
are women updating their job skills. Assume that the 25% figure
is accurate, that your college is representative of colleges at large,
and that you sample n = 200 students, recording X, the number of
students age 30 or older. What are the mean and standard deviation
of X?
15.