5.101 After Graduation Most of today's university graduates want to start earning money as soon as they graduate from university. However, for some decades now, the enrollment in graduate programs at Canadian universities has been increasing. About 20% of senior undergrad students are likely to pursue a graduate pro- gram after graduating. Suppose that 50 senior under- grad students were randomly selected.

a. What is the average value of x, the number of senior undergrad students in the group who say they will pursue a graduate program after graduation? What is the standard deviation of x?

b. Would it be unlikely to find 15 or more in the group who say they will pursue a graduate program after graduation?

c. How many standard deviations from the mean is the value x 15? Does this confirm your answer in part b?