Exam 7: Continuous Probability Distributions

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We would use a normal distribution to model the waiting time until the next Florida hurricane strike.

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A continuous uniform distribution U(0,800)will have μ = 400 and σ = 230.94.

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A machine dispenses water into a glass.Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces,the average amount of water dispensed by the machine is

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A random variable X is best described by a continuous uniform distribution from 20 to 45 inclusive.The mean of this distribution is

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Any two normal curves are the same except for their

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For which binomial distribution would a normal approximation be most acceptable?

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If the random variable Z has a standard normal distribution,then P(Z ≤ −1.72)is

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If the mean time between unscheduled maintenance of LCD displays in a hospital's CT scan facility is 4,000 operating hours,what is the probability of unscheduled maintenance in the next 5,000 hours?

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The figure shows a normal N(400,23)distribution.Find the approximate shaded area. The figure shows a normal N(400,23)distribution.Find the approximate shaded area.

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The normal is a good approximation to the binomial when n is greater than or equal to 10.

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If the random variable Z has a standard normal distribution,then P(1.17 ≤ Z ≤ 2.26)is

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In Melanie's Styling Salon,the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standard deviation of 4 minutes.The slowest quartile of customers will require more than how many minutes for a simple haircut?

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Excel's = RAND()function produces random numbers that are uniformly distributed between 0 and 1.The mean of this distribution is approximately

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Regarding continuous probability distributions,which statement is correct?

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