8. For the following scenarios (a) state which distribution you should use (Hypergeometric, Binomial, Negative Binomial, or Poisson), (b) define the random variable, and (c) state the parameter values. Notes: . Make sure your definition of the random variable aligns with the question being asked. . You do NOT need to find the value of the probability. . Hypergeometric Distribution Parameters: N, n, k, N - k . Binomial Distribution Parameters: n, p . Negative Binomial Distribution Parameters: k, p . Poisson Distribution Parameters: A, t, or X . t . There is one example for each distribution listed. Scenarios: (a) We want to predict the sales in a specialty store. Suppose an old book store sells four-hundred books per week. What is the probability that they sell eighty-five books in two days? (b) Julian's Engineering Firm is hiring for summer internship positions in Software Engi- neering and Civil Engineering. The number of open positions for Software Engineer- ing was 15, and the number of open positions for Civil Engineering was 16. So far, 13 candidates have been selected for these positions (assuming that once a person accepts a position, it is set in stone). Find the probability that 8 of the candidates selected were for the Software Engineering Internship. (c) RP performed a nationwide survey of 18- to 24-year-olds which revealed that approxi- mately 41% approve of vaping. If 18 people from this group is selected at random and asked their opinion, find the probability that the number who disapprove of vaping is greater than 8. (d) At the grocery store, Stacy sorted through a barrel of apples to find the ones that she wanted to buy. We define a success as finding an apple that is "ideal" (not bruised or soft). The probability that an apple is "ideal" is 0.51. Find the probability that we need to look through 4 apples in the barrel to find 3 that are "ideal"