2.A) Determine the monthly milk production values that correspond to z = -3, -2, -1, 0, 1, 2, 3.

B) Complete thedistributionin Canvas by inserting the values from part A)as class boundariesand determine the number of values within each interval

C)Use the results of part B) to determine the percentages of values within 1, 2, and 3 standard deviationsof the mean.

D)Based onthe resultsof part C)and theEmpirical Rule, do you think the data is approximately normally distributed? Explain your answer.

3.A)Select two values from the provided chart: one below the mean(a) and one above the mean (b). The selected values should NOT be one of the values entered into the chart in 2A). Let x represent a randomly selected value from the data chart. Explain why the random variable is a discrete random variable.

B)Translate each verbal statement into symbolic form

the empirical probability that the randomly selected value, x, is no more a.the empirical probability that the randomly selected value, x, is at least b.the empirical probability that the randomly selected value, x, is between a and b.

C) Explain the general process for finding an empirical probability.Determine the empirical probabilities described in part B) based on the chart provided at the start of the case study. Enter the probability, correct to two decimal places, into the chart in Canvas.

4.A)Let x represent a randomly selected number between the minimum and maximum values in #1; a and b represent the same values selected in #3.Explain why x represents a continuous random variable in this part of thecase study. B)Assume that the monthly milk production of Holstein cows is normally distributed, with the mean and standard deviation as determined in #1A).State the probabilities described in #3 in terms of z-scores and determine the probabilities. C)Select StatCalculatorsNormal. Then, setting the mean to 0 and standard deviation to 1,determine the probabilities for the statementsin part B). Enter the probability, correct to four decimal places, into the copied chart. Download the result and save as an image to your device. Embed the images as support for the submitted probabilities.D)It is very unlikely that the probabilities found in #4B) areexactly the sameas those found in #3. Explain why the probabilities are different.