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please show work! The poo The yourn d a heigh shown heig 9. Which of the following random variables is geometric? (a) the number of

please show work!

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The poo The yourn "d a heigh shown heig 9. Which of the following random variables is geometric? (a) the number of phone calls received in a one-hour period (b) the number of times I have to roll a six-sided die to get two 5s (c) the number of digits I will read beginning at a randomly selected starting point in a table of random digits until I find a 7 (d) the number of 7s in a row of 40 random digits (e) None of the above are geometric random variables. Questions 10 -11 refer to the following setting. In order to set premiums at profitable levels, insurance companies must estimate how much they will have to pay in claims on cars of each make and model, based on the value of the car and how much damage it sustains in accidents. Let C be a random variable that represents the cost of claims on a randomly selected car of one C $0 $1000 $4000 $10,000 P(C) 0.60 0.05 0.13 0.22 model. The probability distribution of C is given below. 10. Which of the following is the probability that the insurance company will have to pay a claim of at least $1000 for a randomly selected car of this model? (a) 0.05 (b) 0.13 (c) 0.22 (d) 0.35 (e) 0.40 11. What is the expected value of C? (a) $0 (b) $554 (c) $2,770 (d) $3,750 (e) $4,057

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