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GRADED PROBLEM SET #6 Answer each of the following questions completely. There are a total of...

GRADED PROBLEM SET #6

Answer each of the following questions completely. There are a total of 20 points possible in the assignment.

  1. A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.
    1. What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?

  1. What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours?

  1. Could you estimate the probabilities from parts a and b if the lifespans of light bulbs had a skewed distribution? Explain.

  1. The Pew Research Center estimates that as of January 2014, 89% of 18-29 year olds in the United States use social networking sites. Calculate the probability that at least 91% of 500 randomly sampled 18-29 year olds use social networking sites.

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