The total compilation time of a computer program has Gamma distribution with average u=10 minutes and variance o =50 minutes. Find the probability that such a program can be compiled in less than 5 minutes.

Our random variable X has a beta distribution with a = 7 and B = 3. What is the variance of the quantity 11X? Var(11X) = Do not round. Express your answer as a number with 2 decimal places.

From the data set of a class, a student taking a final exam is random variable with mean equal to 50 and variance is 25. Find an upper bound for the student probability that a student's exam score will between 40 and 60.

The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in thedusLove uo useful life (150,000 miles of driving) of cars of a particular model varies Normall/ih nean 80 mg/mi and standard deviation 4 mg/mi. A company has 25 cars of this model in its et find the level L such that the probability that the average NOX+NMOG level 7 for the fleet is greater than L is only 0.01. Give your answer to three decimal places.