Exam 3: Probability Distributions

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A standard normal distribution is a normal distribution with

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If one wanted to find the probability of ten customer arrivals in an hour at a service station,one would generally use the Poisson distribution.

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If the Poisson distribution describes the number of occurrences per interval,the exponential distribution describes the length of the interval between occurrences.

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A random variable that has a normal distribution with a mean of 0 and a standard deviation of 1 is said to have a binomial distribution.

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For an exponentially distributed random variable x with a mean of 8,the probability of x < 8 is .5.

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The high school GPAs of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories. The high school GPAs of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.     a.Complete the table to make this a valid probability distribution. b.What is the probability an applicant's GPA will be below 3.0? c.What is the probability an applicant's GPA will be 2.5 or above? a.Complete the table to make this a valid probability distribution. b.What is the probability an applicant's GPA will be below 3.0? c.What is the probability an applicant's GPA will be 2.5 or above?

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The Poisson probability distribution is used with a continuous random variable.

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An experiment consists of measuring the speed of automobiles on a highway by the use of radar equipment.The random variable in this experiment is speed,measured in miles per hour.This random variable is a

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Z is a standard normal random variable.The P(z > 2.11)equals

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The expected value of the discrete random variable x is μ\mu ,a weighted average of all possible values of x.

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Delicious Candy markets a two pound box of assorted chocolates.Because of imperfections in the candy making equipment,the actual weight of the chocolate has a continuous uniform distribution ranging from 31.8 to 32.6 ounces. a.Define a probability density function for the weight of the box of chocolate. b.What is the probability that a box weighs (1)exactly 32 ounces; (2)more than 32.3 ounces; (3)less than 31.8 ounces? c.The government requires that at least 60% of all products sold weigh at least as much as the stated weight.Is Delicious violating government regulations?

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Weight,time,and temperature are examples of discrete random variables.

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