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• 296. An actuary compiles the following information about a portfolio of life insurance policies: i)
• 297. The lifetime of a machine part has a continuous distribution on the interval (0, 40) with proba
• 245. On Main Street, a driver’s speed just before an accident is uniformly distributed on [5, 20]. G
• 246. Let X be the annual number of hurricanes hitting Florida, and let Y be the annual number of hur
• 247. Random variables X and Y have joint distributionLet a be the value that minimizes the variance
• 298. The claim, X, for a dental insurance policy is a random variable with the following probability
• 248. Let X be a random variable that takes on the values –1, 0, and 1 with equal probabilities. Let
• 249. Losses follow an exponential distribution with mean 1. Two independent losses are observed. Cal
• 250. A delivery service owns two cars that consume 15 and 30 miles per gallon. Fuel costs 3 per gall
• 299. An insurance company categorizes its policyholders into three mutually exclusive groups. A stud
• 143. The lifetime of a light bulb has density function, f, where f(x) is proportional to , 0<x<
• 300. A group of insurance policies have all been in force for at least three years. The insurance co
• 301. An insurance company sells a one-year insurance policy that covers fire and theft losses. The v
• 144. An insurer’s medical reimbursements have density function f, where f(x) is proportional to , f
• 145. A company has five employees on its health insurance plan. Each year, each employee independent
• 146. On any given day, a certain machine has either no malfunctions or exactly one malfunction. The
• 147. In a certain group of cancer patients, each patient's cancer is classified in exactly one
• 148. A car is new at the beginning of a calendar year. The time, in years, before the car experience
• 149. In a shipment of 20 packages, 7 packages are damaged. The packages are randomly inspected, one
• 150. A theme park conducts a study of families that visit the park during a year. The fraction of su
• 8. A solid rod with length L, resistance R and mass M initially rotates with angular velocity ω in a
• 302. The number of automobile accidents on any day in a city has a Poisson distribution with mean 4.
• 9. Which quantity cannot be measured by Hall effect? (A) The external magnetic field (B) The sign of
• 10. A cord is wrapped on a pulley (treated as a uniform solid disk) of mass M and radius R as shown
• 11. The average power transferring along the string can be written as P= μvaωb Ac\/2, where μis the