Please solve all questions and parts and show the work and if it has an R function can you please provide that and show what it is. i) Suppose that ?~???????( −2,8), find (a) The mean value of this random variable. (b) The standard deviation of this random variable. (c) Find the 80th percentile of the distribution. (d) ?(1 ≤ ? ≤ 3) ii) Let X = the time in hours between two successive arrivals at the drive-up window of a fast food restaurant. If X has an exponential distribution with ? = 10, compute the following: (a) The expected time between two successive arrivals. (b) The standard deviation of the time between two arrivals. (c) The median time between the two successive arrivals. (d) The probability that after one arrival it takes at least half an hour before the next arrival
Please solve all questions and parts and show the work and if it has an R
i) Suppose that ?~???????( −2,8), find
(a) The
(b) The standard deviation of this random variable.
(c) Find the 80th percentile of the distribution.
(d) ?(1 ≤ ? ≤ 3)
ii) Let X = the time in hours between two successive arrivals at the drive-up window of a fast food
restaurant. If X has an exponential distribution with ? = 10, compute the following:
(a) The expected time between two successive arrivals.
(b) The standard deviation of the time between two arrivals.
(c) The
(d) The probability that after one arrival it takes at least half an hour before the next arrival
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