Exam 6: Introduction to Continuous Probability Distributions

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In a standard normal distribution,the probability P(-1.00< Z < 1.20)is the same as

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The makers of Sweet-Things candy sell their candy by the box.Based on company policy,the mean target weight of all boxes is 2.0 pounds.To make sure that they are not putting too much in the boxes,the manager wants no more than 3 percent of all boxes to contain more than 2.10 pounds of candy.In order to do this,what should the mean fill weight be set to if the fill standard deviation is 0.13 pounds? Assume that the box weights are normally distributed.

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Which of the following probability distributions could be used to describe the distribution for a continuous random variable?

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The weight of sacks of potatoes is normally distributed with a mean of 20 pounds and a standard deviation of 2 pounds.The weight of sacks of onions is also normally distributed with a mean of 20 pounds and a standard deviation of 0.50 pounds.Based on this information,which product will yield the highest probability of getting a very heavy sack?

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It is thought that the time between customer arrivals at a fast food business is exponentially distributed with λ equal to 5 customers per hour.Given this information,what is the mean time between arrivals?

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Assuming that the change in daily closing prices for stocks on the New York Stock Exchange is a random variable that is normally distributed with a mean of $0.35 and a standard deviation of $0.33.Based on this information,what is the probability that a randomly selected stock will be lower by $0.40 or more?

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The manager of a computer help desk operation has collected enough data to conclude that the distribution of time per call is normally distributed with a mean equal to 8.21 minutes and a standard deviation of 2.14 minutes.Based on this,what is the probability that a call will last longer than 13 minutes?

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It is assumed that the time failures for an electronic component are exponentially distributed with a mean of 50 hours between consecutive failures.If one extra component is installed as a backup,what is the probability of at least one of the two components working for at least 60 hours?

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An assembly process takes between 20 and 40 minutes to complete with the distribution of time thought to be uniformly distributed.Based on this,the percentage of assemblies that require less than 25 minutes is 0.05.

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Which of the following is not a characteristic of the normal distribution?

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