5. (27 points) Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after

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5 27 Points Automobile Engines And Transmissions Are Produced On Assembly Lines And Are Inspected For Defects After 1 (34.82 KiB) Viewed 98 times

5. (27 points) Automobile engines and transmissions are produced on assembly lines, and are inspected for defects after they come off their assembly lines. Those with defects are repaired. Let X represent the number of engines, and the number of transmissions that require repairs in a one- hour time interval. The joint probability mass function of X and Y is as follows: y p(x,y) 0 1 2 0 0.07 1 2 3 X 0.03 0.08 0.02 0.02 0.04 0.16 3 0.13 0.04 0.06 0.02 0.1 0.12 0.08 0.02 0.01 a. Find the marginal probability mass function of X. b. Find the marginal probability mass function of Y. c. Calculate Myand d. Calculate oxand or e. Assume that the cost of an engine repair is $50, and the cost of a transmission repair is $100. let Trepresent the total cost of repairs during a one-hour-time interval-Find #rando f. Find the conditional probability mass function privly 3). 8. Find the conditional probability mass function pxix | 1), h. Find the conditional expectation E(1 X = 3). i. Find the conditional expectation EX 1 Y = 1).