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# problem set-2

IHP 525 Module Three Problem Set1.       What is the probability of being born on:a)      February 28?b)      February 29?c)       February 28 or February 29?2.       A patient newly diagnosed with a serious ailment is told he has a 60% probability of surviving 5 or more years. Let us assume this statement is accurate. Explain the meaning of this statement to someone with no statistical background in terms he or she will understand.3.       A lottery offers a grand prize of \$10 million. The probability of winning this grand prize is 1 in 55 million (about 1.8×10-8). There are no other prizes, so the probability of winning nothing = 1 – (1.8×10-8) = 0.999999982. The probability model is:Winnings (X)0\$10 x 106P(X = xi)0.9999999821.8 x 10-8a)      What is the expected value of a lottery ticket?b)      Fifty-five million lottery tickets will be sold. How much does the proprietor of the lottery need to charge per ticket to make a profit?4.       Suppose a population has 26 members identified with the letters A through Z.a)      You select one individual at random from this population. What is the probability of selecting individual A?b)      Assume person A gets selected on an initial draw, you replace person A into the sampling frame, and then take a second random draw. What is the probability of drawing person A on the second draw?c)       Assume person A gets selected on the initial draw and you sample again without replacement. What is the probability of drawing person A on the second draw?5.       Let A represent cat ownership and B represent dog ownership. Suppose 35% of households in a population own cats, 30% own dogs, and 15% own both a cat and a dog. Suppose you know that a household owns a cat. What is the probability that it also owns a dog?6.       What is the complement of an event?