(d) What is the probability that the lecture continues for at least 90 sec beyond the end of the hour? (e) Find the cdf of X, F(x), and repeat parts (b), (c), and (d) using F(x) instead of f (x).

Please help.

Extracted text: (d) What is the probability that the lecture continues for at least 90 sec beyond the end of the hour? (e) Find the cdf of X, F(x), and repeat parts (b), (c), and (d) using F(x) instead of f (x).


Extracted text: 2. A college professor never finishes his lecture before the end of the hour and always finishes his lecture within 2 min after the hour. Let X be the time that elapses between the end of the hour and the end of the lecture and suppose the pdf of X is f(x) = kx² for 0 <><2 and="" f(x)="0">