Exam 6: Discrete Probability Distributions

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In Quebec,90 percent of the population subscribes to the Roman Catholic religion.In a random sample of eight Quebecois,find the probability that the sample contains at least five Roman Catholics.

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The binomial distribution describes the number of:

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On a particular Thursday in August,40 Grand Canyon tourists enter a drawing for a free mule ride.Ten of the entrants are European tourists.Five entrants are selected at random to get the free mule ride.Which model best describes the number of European tourists in the random sample?

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The probability that an Oxnard University student is carrying a backpack is .70.If 10 students are observed at random,what is the probability that fewer than 7 will be carrying backpacks?

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Hardluck Harry has a batting average of .200 (i.e. ,a 20 percent chance of a hit each time he's at bat).Scouts for a rival baseball club secretly observe Harry's performance in 12 random times at bat.What is the probability that Harry will get more than 2 hits?

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A fair die is rolled.If it comes up 1 or 2 you win $2.If it comes up 3,4,5,or 6 you lose $1.Find the expected winnings.

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As a rule of thumb,the binomial distribution can be used to approximate the hypergeometric distribution whenever the population is at least 20 times as large as the sample.

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The number of male babies in a sample of 10 randomly chosen babies is a:

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The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons.The table below shows the probability distribution for X.What is the probability that at least 1 student comes to office hours on any given Monday? The discrete random variable X is the number of students that show up for Professor Smith's office hours on Monday afternoons.The table below shows the probability distribution for X.What is the probability that at least 1 student comes to office hours on any given Monday?

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In a randomly chosen week,which probability model would you use to describe the number of accidents at the intersection of two streets?

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When you send out a resume,the probability of being called for an interview is .20.What is the probability that the first interview occurs on the fourth resume that you send out?

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A clinic employs nine physicians.Five of the physicians are female.Four patients arrive at once.Assuming the doctors are assigned randomly to patients,what is the probability that all of the assigned physicians are female?

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Ten percent of the corporate managers at Axolotl Industries majored in humanities.What is the probability that the first humanities major is the fifth manager you meet?

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Which model would you use to describe the probability that a call-center operator will make the first sale on the third call,assuming a constant probability of making a sale?

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An insurance company is issuing 16 car insurance policies.Suppose the probability for a claim during a year is 15 percent.If the binomial probability distribution is applicable,then the probability that there will be at least two claims during the year is equal to:

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For which binomial distribution would a Poisson approximation be acceptable?

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A stock portfolio consists of two stocks X and Y.Their daily closing prices are independent random variables with standard deviations σX = 2.51 and σY = 5.22.What is the standard deviation of the sum of the closing prices of these two stocks?

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The variance will reach a maximum in a binomial distribution when:

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The binomial distribution is symmetrical when:

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Which distribution has a mean of 5?

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