M362K Sample Test 2A - M362K Sample Test 2A Dr. Gary Berg...

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M362K Sample Test 2A Dr. Gary Berg All problems are worth ten points. Do ten of the twelve problems. Clearly mark the problems to be omitted. Show your work. 1) Two fair diced are rolled. Let X equal the product of 2 dice. Find P ( X = i ) for i =1, 2, 3, …. 2) A coin that when flipped comes up heads with probability p is flipped until either heads or tails has occurred twice. Find the expected number of flips. 3) A sample of 3 items is selected at random from a box containing 20 items of which 4 are defective. Find the expected number of defective items in the sample. 4) An insurance company writes a policy to the effect that an amount of money A must be paid if some event E occurs within a year. If the company estimates that E will occur within a year with probability p , what should it charge the customer in order that its expected profit will be 10 per cent of A ? 5) The probability of being dealt a full house in a hand of poker is approximately 0.0014. Find an approximation for the probability that in 1000 hands of poker you will be dealt at least 2 full houses. 6)
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This note was uploaded on 05/10/2011 for the course MATH 362K taught by Professor Berg during the Spring '11 term at University of Texas at Austin.

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M362K Sample Test 2A - M362K Sample Test 2A Dr. Gary Berg...

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