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company i·randomly selected Lei Y be aumber of moving violation·for which the individual was eited during the last 3 years. The pmf of Y is (1. Find a voch that py) is a p.m.f (2) Write out deedfof Fcompletely 3) Suppose an individual with Y violatione inouns a surcharge of s espected amount of the surcharge Poinon distrilrution Pre) D can not be determined Clculate the 4) Suppose X-N(0.1) and Y-N(24), they ee independent, then) is iecerreet @x+Y-N(2, 5) Isstructioa: The follewing questioas need yoa show all year work in details Question 3, (5 paints) A machine peoduces defective parts with three different probabilinies depending on its state of repair. If the machine isingoed working orde, it produces probability &1. If it noeds maintenance, it produces defective parts with peobahiliny 0.3. The probebility that the machine is in good working order is 0.8, the probability that it is wearing down is 0 .1, and the probability that it seeds maintenance is 0.1. Compute the probebility that a nedomly selecied part will be defective

of the notal and theuring the depth of the Rockwel hardness of a Obwerve X inependesty fer thooe tines, let I denote the sontur of a event (X-05) occurring in theee times probabllny as in specimens have accepiable bardness? hardness

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