MATH 431 Final: 2004 Final A
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Room b239, 2:45pm - 4:45pm, december 18, 2004. Are accidents of policyholders occurring independently in these two years? (b) (25 points) what percentage of policyholders had no accident at all during 2001 2002 . Hint: don"t forget your yes or no answer for (a)! 1 (c) bonus problem (only try if all other problems are completed and checked, 10 points): Compute all kind of conditional probabilities in time: what is the probability that a policyholder has at least one accident in 2002, given he/she. Had at least one in 2001 (same as question (a) above), What is the probability that a policyholder has at least one accident in 2003, given he/she. Had at least one in each 2001 and 2002, Had at least one accident in one of the years 2001 and 2002, but did not have any in the other year, 2: (40 points) let x be a uniform random variable on (0, 1).