Solve the following:
Q: Harvard University published the age profile of it's first time students. A random sample of 33 students has ten students in their thirties, fifteen students in their forties, five students in their fifties, and three students in their sixties. A student is selected randomly from the sample. Let X be the age of the selected student. Calculate the:
A) Probability that the student is of age 30
B) Probability that the student is of age 50 or 60
C) Probability distribution of X
D) Expected value of X