Exam 5: Discrete Probability Distributions

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The random variable x is the number of houses sold by a realtor in a single month at the Sendsom's Real Estate office. Its probability distribution is as follows. Houses Sold (x) Probability P(x) 0 0.24 1 0.01 2 0.12 3 0.16 4 0.01 5 0.14 6 0.11 7 0.21

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Find the indicated probability. Round to three decimal places. -In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are selected at random from the physics majors, that is the probability that no more than 6 belong to an ethnic minority?

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Find the indicated mean. -The mean number of homicides per year in one city is 21.4. Suppose a Poisson distribution will be used to find the probability that on a given day there will be fewer than 4 homicides. Find the mean of the appropriate Poisson distribution (the mean number of homicides per day). Round your answer to four decimal places.

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Find the standard deviation, σ\sigma , for the binomial distribution which has the stated values of nn and pp . Round your answer to the nearest hundredth. n=503;p=0.7n = 503 ; p = 0.7

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Find the indicated probability. -A slot machine at a hotel is configured so that there is a 1/1200 probability of winning the jackpot on any individual trial. If a guest plays the slot machine 6 times, find the probability of exactly 2 jackpots. If a guest Told the hotel manager that she had hit two jackpots in 6 plays of the slot machine, would the manager be Surprised?

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