## Question 3 - identifying when to use various notorious discrete probability distributions. For each of the following random quantities, choose which probability model would be your "go to" in the absence of data. Respond with either the uniform, geometric, binomial, negative binomial, Poisson, or zero-Truncated Poisson, and *briefly* justify your answer. Do not choose negative binomial when the geometric distribution could be used (the geometric is a simpler, specific case of one flavor of the negative binomial). a. The number of times you must flip 5 pennies (you toss them all at once) until all 5 come up tails. **Response: ** b. The number of tomatoes rejected by a hard-to-please shopper before 4 "keepers" are selected (each tomato has a probability `p of being a keeper and a probability `1-p` of being rejected). **Response: C. ** The number of cars traveling westbound on Kingston Pike that turn left onto Cherokee Blvd between 2-3pm on Tuesdays. **Response: d. ** The number of cellphones ever owned by current owners of an iPhone 14 Pro Max. **Response:** e. The number of potato chips in a bag of 100 that have that weird green tint. **Response: ** f. The number of times that Comcast customers call customer support in a given month. **Response:** g. The number of BAS 471 students that have ordered something from the food-delivery robots you see around campus (there are 94 students currently enrolled in the course). **Response: ** h. The number of licks that a cat gives your hand when greeting you (the cat might not lick you at all). **Response:** i. The number on the red Powerball (picked at random between the numbers 1 and 26). **Response:**