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• 132. A company issues auto insurance policies. There are 900 insured individuals. Fifty-four percent
• 291. Let X and Y be discrete random variables with joint probability function Calculate Corr (X, Y),
• 133. An insurance company insures red and green cars. An actuary compiles the following data: The ac
• 134. George and Paul play a betting game. Each chooses an integer from 1 to 20 (inclusive) at random
• 135. A student takes an examination consisting of 20 true-false questions. The student knows the ans
• 136. The minimum force required to break a particular type of cable is normally distributed with mea
• 137. The number of policies that an agent sells has a Poisson distribution with modes at 2 and3. K i
• 138. Two fair dice are tossed. One die is red and one die is green. Calculate the probability that t
• 139. In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean scor
• 140. A certain brand of refrigerator has a useful life that is normally distributed with mean 10 yea
• 141. Losses covered by a flood insurance policy are uniformly distributed on the interval [0, 2]. Th
• 292. Let X and Y be discrete random variables with joint probability functionCalculate the variance
• 227. For a certain insurance company, 10% of its policies are Type A, 50% are Type B, and 40% are Ty
• 228. The number of tornadoes in a given year follows a Poisson distribution with mean 3. Calculate t
• 229. A government employee’s yearly dental expense follows a uniform distribution on the interval fr
• 230. Under a liability insurance policy, losses are uniformly distributed on [0, b], where b is a po
• 231. A company’s annual profit, in billions, has a normal distribution with variance equal to the cu
• 232. The number of claims X on a health insurance policy is a random variable with  E[X2]=61 and E[X
• 233. Ten cards from a deck of playing cards are in a box: two diamonds, three spades, and five heart
• 237. A car and a bus arrive at a railroad crossing at times independently and uniformly distributed
• 238. Skateboarders A and B practice one difficult stunt until becoming injured while attempting the
• 239. The number of minor surgeries, X, and the number of major surgeries, Y, for a policyholder, thi
• 240. A company provides a death benefit of 50,000 for each of its 1000 employees. There is a 1.4% ch
• 241. An investor invests 100 dollars in a stock. Each month, the investment has probability 0.5 of i
• 293. A company provides disability benefits to its employees. There are only two possible benefits: