A) Let x represent a randomly selected number between the minimum and maximum values in #1; a and b represent the same values selected for #3. Explain why x represents a continuous random variable.

Copy and paste the provided chart into the answer field below.

Verbal Statement	Symbolic Statement using z-scores (Part B)	Probability (Part C)
the probabilityxis no more thana
the probabilityxis at leastb
the probabilityxis betweenaandb

B) Assume that the monthly milk production of Holstein cows is normally distributed, with the mean and standard deviation as determined ini #1A). Translate each verbal statement into symbolic form using z-scores. Enter your response into the copied chart using correct mathematical notation.

C)Use the tool of your choice to determine the probabilities in the statements in part B). If using StatCrunch, select StatCalculatorsNormal. Then, setting the mean to 0 and standard deviation to 1, determine the probabilities for the statements in 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 probability found in #4C) are exactly the same as those found in #3. Explain why these differences exist.