18. Of the 15 students who solved the challenge

question in a mathematics contest, 8 were

enrolled in mathematics of data

management. Five of the solutions are

selected at random for a display.

a) Prepare a table and graph of the

probability distribution for the number

of solutions in the display that were

prepared by mathematics of data

management students.

b) What is the expected number of

solutions in the display that were

prepared by mathematics of data

management students?

16. A study found that the average time it took

for a university graduate to find a job was

5.4 months, with a standard deviation of

0.8 months. If a sample of 64 graduates were

surveyed, determine a 95% confidence

interval for the mean time to find a job.