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Two athletic teams play a series of games; the first team winning 4 games is the winner. The World Series is an example. Suppose that I of the teams is stronger than the other and has probability p of winning each game, independent of the outcomes of any other games. Assume that a game cannot end in a tie. Show that the probabilities that the series will end in 4, 5, 6, or 7 games are (i) if P = 2/3, 0.21, 0.296, 0.274, and 0.22, respectively, and (ii) if P = ½, 0.125, 0.25,0.3125, and 0.3125, respectively.
MATH1550H: Assignment: Question: A word is selected at random from the following poem of Persian poet and mathematician Omar Khayyam (1048-1131), translated by English poet Edward Fitzgerald (1808-1883). Find the expected value of the length of th..
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
MATH1550H: Assignment: Question: Experience shows that X, the number of customers entering a post office during any period of time t, is a random variable the probability mass function of which is of the form
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
MATH1550H: Assignment: Questions: Let’s assume the department of Mathematics of Trent University has 11 faculty members. For i = 0; 1; 2; 3; find pi, the probability that i of them were born on Canada Day using the binomial distributions.
Caselet on McDonald’s vs. Burger King - Waiting time
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Conduct a marketing experiment in which students are to taste one of two different brands of soft drink
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