Exam 5: Discrete Random Variables

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For a random variable X,the mean value of the squared deviations of its values from their expected value is called its

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The variable "home ownership" can take on one of two values,1 if the person living in a home owns the home and zero if the person living in a home does not own the home is an example of a discrete random variable.

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Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store: Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store.If X = the number of arrivals per minute,find the standard deviation of X.

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If in a hypergeometric distribution r is 300,N = 600 and n = 150,estimate the binomial probability of success.

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The manager of the local grocery store has determined that,on the average,4 customers use the service desk every half-hour.Assume that the number of customers using the service desk has a Poisson distribution. What is the probability that during a randomly selected half-hour period exactly 2 customers use the service desk?

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A fair die is rolled 10 times.What is the probability that an odd number (1,3,or 5)will occur less than 3 times?

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The variable "employment status" which can take on one of two values: 1 for "employed" and 0 for "unemployed" is an example of a _____________ random variable.

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A random variable that is defined to be the total number of successes in n trials is a _____ random variable.

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If x is a Poisson random variable with a mean of 10,what is the probability that x is equal to 8?

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Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store.If X = the number of arrivals per minute: Find the probability of 3 customers arriving within a minute.

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Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store.If X = the number of arrivals per minute: Find the expected value of X.

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For a binomial process,the probability of success is 40% and the number of trials is 5. Find the standard deviation.

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The J.O.Supplies Company buys calculators from a Korean supplier.The probability of a defective calculator is 10%. If 3 calculators are selected at random,what is the probability that one of the calculators will be defective?

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If p = .1 and n = 5,then the corresponding binomial distribution is

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The binomial distribution is characterized by situations that are analogous to

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For a binomial process,the probability of success is 40% and the number of trials is 5. Find P(X > 4).

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In a binomial experiment,the results of one trial are dependent on the results of other trials.

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If the number of surface nonconformities on a specific size of metal piece is the discrete random variable in question,then the appropriate probability distribution that can describe the probability of a specific size metal sheet containing 3 defectives is given most likely by ___________________ distribution.

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Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store.If X = the number of arrivals per minute: Find the probability of more than 7 customers arriving within a minute.

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Suppose that x has a hypergeometric distribution with N = 10,r = 5 and n = 3.Calculate the mean of the distribution.

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