Exam 5: Normal, Binomial, Poisson, and Exponential Distributions

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Let Y be the number of the 12 male adults who are less than 62 inches tall. Determine the mean and standard deviation of Y.

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A Poisson distribution is:

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Given that Z is a standard normal random variable, P(-1.0 Given that Z is a standard normal random variable, P(-1.0   Z   1.5) is: Z Given that Z is a standard normal random variable, P(-1.0   Z   1.5) is: 1.5) is:

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Find P(X = 2).

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Find the probability that the number of arrivals between 4:00 and 5:00 P.M. is exactly two.

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The public school system 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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Find the probability that the number of arrivals between 3:30 and 4:00 P.M. is at least 10.

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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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If the random variable X is exponentially distributed with parameter If the random variable X is exponentially distributed with parameter   = 3, then P(X   2) , up to 4 decimal places, is: = 3, then P(X If the random variable X is exponentially distributed with parameter   = 3, then P(X   2) , up to 4 decimal places, is: 2) , up to 4 decimal places, is:

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What is the probability that at least one of the 20 new microwaves sold will require a warranty repair in the first 90 days?

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What is the probability that at least 20 customers, but fewer than 30 customers arrive at this checkout counter in a given hour?

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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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Sampling done without replacement means that:

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Which distribution is best-suited to measure the length of time between arrivals at a grocery checkout counter?

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Find the mean and the variance of X.

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What is the probability that exactly half the male adults will be less than 62 inches tall?

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Which probability distribution applies to the number of events occurring within a specified period of time or space?

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Using the standard normal curve, the Z- score representing the 10th percentile is 1.28.

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What is the variance of the time it takes a technician to fix a computer problem?

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What is the probability that at most two of the 20 new microwaves sold will require a warranty repair in the first 90 days?

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