A production facility contains two machines that are used to reworkitems that are initially defective.

LetXbe the number of hours that the firstmachine is in use, and letYbe the number of hours that the second machine isin use, on a randomly chosen day.

Assume that X and Y have joint probabilitydensity function given by, f(x, y) ={32(x2+y2)0< x <1 and 0< y <10 otherwise

What is the probability that both machines are in operation for more than half an hour?

Joe owns a fast-food restaurant and wants to know the average time it takes for customers to receive their orders. his restaurant serves about 500 customers a day. he timed 5 orders, and the order times he collected, given in minutes, are shown below. can the approximate order fulfillment time for all of the restaurant's customers be calculated from the given data? if so, calculate it. non-integer answers should be rounded to the nearest tenth. if no assumption can be made, type "0" in the box. the approximate order fulfillment time for all of the restaurant's customers is minutes.