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MATH 302 American Public University R Program Statistics Practice Exam Practice

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  • There are 6.5 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be 9 or less accidents at this intersection. (That is, find P(X≤9) (round to 4 decimal places)
  • Computer Help Hot Line receives, on average, 14 calls per hour asking for assistance. What is the probability that the company will receive 3 calls in a 12 minute period? Round answer to 4 decimal places
  • The mean number of visitors at a national park in one weekend is 47. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 55 visitors at this park in one weekend. (That is, find P(X ≤ 55)) (round to 4 decimal places)
  • There are 4 accidents, on average, at an intersection. Assume the variable follows a Poisson distribution. Find the probability that there will be 5 or less accidents at this intersection. (That is, find P(X ≤ 5)) (round to 4 decimal places)
  • The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains 38 numbers, and each number is assigned to a color and a range. What is the probability of winning when betting on two lines that touch each other on the table as in 1-2-3-4-5-6?

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