How many people are needed so that the probability that at least one of them has the same birthday as you is greater than 1/2?
Answer to relevant QuestionsSuppose that the number of accidents occurring on a highway each day is a Poisson random variable with parameter λ = 3. (a) Find the probability that 3 or more accidents occur today. (b) Repeat part (a) under the assumption ...People enter a gambling casino at a rate of 1 every 2 minutes. (a) What is the probability that no one enters between 12:00 and 12:05? (b) What is the probability that at least 4 people enter the casino during that time? Solve the Banach match problem (Example 8e) when the left-hand matchbox originally contained N1 matches and the right-hand box contained N2 matches. Consider n independent sequential trials, each of which is successful with probability p. If there is a total of k successes, show that each of the n!/[k!(n − k)!] possible arrangements of the k successes and n − k ...An urn contains 2n balls, of which 2 are numbered 1, 2 are numbered 2, . . . , and 2 are numbered n. Balls are successively withdrawn 2 at a time without replacement. Let T denote the first selection in which the balls ...
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