all 3 please

nu 8:39:28 PM tulane.instructure.com/courses/2232989/quizzes/4104127/take D Question 1 Suppose the inside radius of a "4 inch" pipe is normally distributed with a mean value of 2 inches with a standard deviation 4 pts 0.9452 of 0.05 inches. Find the probability that a randomly selected section of this pipes has an inside radius of at least 1.94 inches. 0 0.1494 0 0.1151 0 0.9192 0.8849 D Question 2 3 pts A random variable Y has the cumulative distribution function if y 5 Find the probability that Y falls within the range 1 to 3 O 2/3 O 1/3 0 1/ 4 O 1/5 O 215 Question 3 4 pts A random variable X has the probability function as given in the table below. It is easy to verify that the expected value is 4. Find the variance of X P(X) 2 .25 .50 6 25 0 05 O VE 0 2 O v2 0 8 4 MAY 6