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 : 5.1807 minutes. Asample of 48 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 oftime (in minutes) that a given person spends watching the video before clicking away. Use this information to answer the following questions. Remaining time: 71 :16 (min:sec) a. Describe the distribution on and the distribution ofthe sample mean 17. Round all values to at least five decimals if necessary The distribution of Y is 7 v with a mean ,uy of E minutes and a standard deviation 0y of E minutes. The distribution of]? is ? v with a mean p? of E minutes and a standard deviation 01, of E 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 4.64 minutes and 6.28 minutes? Answer: Round to at least ve decimals if necessary c. What is the probability that a given individual in this sample will spend more than 4.32 minutes watching the video before clicking away? Answer: ::: Round to at least ve decimals if necessary d. 61% of the time, the average amount of time that a sample of 48 people will spend watching the video before clicking away is at most how many minutes? Answer: E minutes Round to at least ve decimals if necessary