The Department of Transportation (DOT) monitors sealed bids for new road construction. For new access roads in a certain state, let X =  low bid (thousands of dollars) and let Y = DOT estimate of fair cost of building the road (thousands of dollars). The joint probability density of X and Y is

a. Find f(y), the marginal density function for Y. Do you recognize this distribution?

b. What is the mean DOT estimate, E(Y)?

Transcribed Image Text:

e y/10 f(x, y) 0 < y