Exam 6: Continuous Probability Distributions

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The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes. a.What is the probability density function for the time it takes to complete the task? b.What is the probability that it will take a worker less than 4 minutes to complete the task? c.What is the probability that it will take a worker between 6 and 10 minutes to complete the task?

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Exhibit 6-7 Exhibit 6-7   -Refer to Exhibit 6-7. The probability that x is less than 5 is -Refer to Exhibit 6-7. The probability that x is less than 5 is

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The weights of the contents of cans of tomato paste produced by a company are normally distributed with a mean of 6 ounces and a standard deviation of 0.3 ounces. a.What percentage of all cans produced contains more than 6.51 ounces of tomato paste? b.What percentage of all cans produced contains less than 5.415 ounces? c.What percentage of cans contains between 5.46 and 6.495 ounces? d.Ninety-five percent of cans will contain at least how many ounces? e.What percentage of cans contains between 6.3 and 6.6 ounces?

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The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old?

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