Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 4 degrees of freedom. Compute P(-1.35

Students arrive one at a time, completely at random, to an advice clinic at a rate of10 per hour. Students take on average 5 minutes of advice but there is wide variation inthe time they need; this variation may be well modeled by the exponential distribution.a.  Assume there is only one advisor serving in the clinic. Find the followingexpected measures of performance for this system: the expected time in the clinic, theexpected time in the queue for advice, the expected number of students in the clinic,and the expected number of students waiting for advice.

For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula is  where P=1- 1/k2 p is the minimum percentage of scores that fall within kk standard deviations on both sides of the mean. Use this formula to answer the following questions. b) If you have scores that are normally distributed, find the percentage of scores that fall within 3.3 standard deviations on both sides of the mean?    c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 35 percent of the scores?    Note: To answer part c you will need to solve the equation for k.k.  A manufacturer knows that their items have a normally distributed length, with a mean of 5.3 inches, and standard deviation of 1.5 inches.If one item is chosen at random, what is the probability that it is less than 8.3 inches long?

The table below shows the number of chickens slaughtered during each month of 2021, as wel as the number of birds that was forecasted to be slaughtered each month using a 3-month moving average. The weights used to make these forecasts are w = 0.5, Wt 1 = 0.3, and w2 = 0.2. If you use a 3-month moving average with the same weights, how many birds would you forecast would be slaughtered is January 2022 (i e. one month after the last entry in the table). Slaughter Birds Slaughtered Forecast (Y.) 01/28/2021 6,045,000 6,335,011 02/28/2021 5,893.000 03/28/2021 6.686,000 6,084,900 04/28/2021 6,643,000 05/28/2021 0,648,000 6,322,348 06/28/2021 7,519,000 07/28/2021 6,980.000 08/28/2021 6,859,000 09/28/2021 6,722,000 7,213,977 10/28/2021 6,340,000 7,030,539 11/28/2021 5,768.000 12/28/2021 6,288.000 O a. 7,753,211 Date () ,WMA 6,249, 105 6,275,674 6,549,849 6,824,016 6,965 087 7,085,925 6.610,554 O b.6,335,011 O.6,368,054 Od.5,050,520