Exam 5: Probability and Probability Distributions

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A random variable X is normally distributed with a mean of 175 and a standard deviation of 50.Given that X = 150,its corresponding Z- score is -0.50.

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The number of car insurance policy holders is an example of a discrete random variable.

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The variance of a binomial distribution for which n = 100 and p = 0.20 is

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The probability that event A will not occur is denoted as The probability that event A will not occur is denoted as   . .

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What is the distribution of X and what are the parameters?

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If events A and B have nonzero probabilities,then they can be both independent and mutually exclusive.

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The density function specifies the probability distribution of a continuous random variable.​

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Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10,P(85 Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10,P(85   X   90)is X Given that the random variable X is normally distributed with a mean of 80 and a standard deviation of 10,P(85   X   90)is 90)is

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What is the expected number of the new microwaves sold that will require a warranty repair in the first 90 days?

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If the random variable X is normally distributed with mean If the random variable X is normally distributed with mean   and standard deviation   ,then the random variable Z defined by   is also normally distributed with mean 0 and standard deviation 1. and standard deviation If the random variable X is normally distributed with mean   and standard deviation   ,then the random variable Z defined by   is also normally distributed with mean 0 and standard deviation 1. ,then the random variable Z defined by If the random variable X is normally distributed with mean   and standard deviation   ,then the random variable Z defined by   is also normally distributed with mean 0 and standard deviation 1. is also normally distributed with mean 0 and standard deviation 1.

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If two events are mutually exclusive and collectively exhaustive,what is the probability that both occur?

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An administrator at Lakeside Middle School is interested in examining the probability of a child being late to school.The child is categorized as either late or not late.What type of distribution should the school use to examine this issue?

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What is the expected number of bats sold on a typical day?

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If P(A)= P(A|B),then events A and B are said to be

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The multiplication rule for two events A and B is: P(A and B)= P(A|B)P(A).

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Two events A and B are said to be independent if P(A and B)= P(A)+ P(B).

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On average,how many customers would you expect to see in line?

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The local police department is interested in estimating the number of cars that fail to stop at a stop sign during a specified lunch hour.Which probability distribution should they use?

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The Poisson probability distribution is one of the most commonly used continuous probability distributions.

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The binomial probability distribution is used with

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