STAT 400 Midterm: STAT400_BOYLE-M_SPRING2004_0101_FINAL_EXAM
15 Feb 2019
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Put a box around the nal answer to a question: (20 points) at a sorority/fraternity party, ve women are randomly paired with. Exactly three of the women and three of the men love thai food. What is the probability that all the thai food lovers will be paired with thai food lovers: (20 points) an insurance company has high-risk and low-risk clients. They have, respectively, probabilities . 7 and . 01 of ling claims within a given year. One tenth of the clients are high risk. , xn are independent random variables, each of which has uni- form distribution on [0, 1]. Let y denote the maximum output of x1, . , xn. (a) (10 points) if c is a number in [0, 1], what is the probability that y c? (b) (10 points) compute e(y ). Show work: (a) (10 points) suppose x is uniformly distributed on [0, 1].
