The length of time required by students to complete a 1-hourexam is a random variable with a density function given by f(y) = cy2 + y, 0 = y = 1 0, elsewhere
A. Find c.
B. Find F(y)
C. Graph f(y) and F(y)
D. Use F(y) in (b) to find F(-1), F(0), and F(1)
E. Find the probability that a randomly selected studentwill finish in less than half an hour.
F. Given that a particular student needs at least 15 minutesto complete the exam, find the probability that she will require atleast 30 minutes to finish.