Suppose Cov(X,Y) = -1. Find the mean of 3XY + 4. 

What is the probability that a patient is given a placebo given she says the pain is reduced? Provide three digits after the decimal point.

Let Y be a random variable with probability density function , for . Answer the following questions. Show your work for all questions.

What is the probability a patient answers that her pain is not reduced after the drug test? Provide four digits after the decimal point.

Find the value of c. Provide 4 digits after the decimal point.

Compute Var(Y). Provide 4 digits after the decimal point.

Compute the probability Y>3 or Y

Discrete random variable X has the following probability mass function:

Which type of contract is generally used for small projects like repair or maintenance work?

What is one way to reduce the risk for owners in time and materials contracts?