Problem 4. (4 points) Remaini time: 71:36 (minzsec) 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 B = 4.1691 minutes. A sample of 65 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 17. Round all values to at least five decimals if necessary The distribution of Y is 7 with a mean [41/ of u minutes and a standard deviation try of m minutes. The distribution of? is ? 6 with a mean W of u minutes and a standard deviation (77 of a; 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 4.1 minutes and 4.5 minutes? Answer: Round to at least five decimals if necessary c. What is the probability thIt a given individual in this sample will spend more than 4.15 minutes WItching the video before clicking away? Answer: I]! Round to at least ve decimals if necessary it. 60% of the time. the average amount of time that a sample of 65 people will spend watching the video before clicking away Is at most how many minutes? Answer: minutes Round to at least five decimals if necessary preview answers An A. .___..___ .____._