The amount of time that an individual spends watching a 10-minute YouTube video (before clicking away) can be modeled by an exponential distribution with =3.7898 minutes. A sample of 38 people is observed and the amount of time that each of them spends watching a particular 10-minute YouTube video before clicking away is measured. Let Y be amount of time (in minutes) that a given person spends watching the video before clicking away. Use this information to answer the following questions. a. Describe the distribution of Y and the distribution of the sample mean Y. Round all values to at least five decimals if necessary The distribution of Y is ? approximately normal exponential hypergeometric normal Poisson with a mean Y of

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minutes and a standard deviation Yof

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minutes. The distribution of Y is ? approximately normal exponential hypergeometric normal Poisson with a mean Y of

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minutes and a standard deviation Yof

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minutes. b. What is the probability that the average amount of time that the people in this sample spend watching the video before clicking away is between 3.3 minutes and 4.38 minutes? Answer:

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Round to at least five decimals if necessary c. What is the probability that a given individual in this sample will spend more than 4.91 minutes watching the video before clicking away? Answer:

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Round to at least five decimals if necessary d. 91% of the time, the average amount of time that a sample of 38 people will spend watching the video before clicking away is at most how many minutes? Answer:

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minutes Round to at least five decimals if necessary