STAT 400 Midterm: STAT400 PILACHOWSKI-T SPRING2013 0101 MID EXAM 1
15 Feb 2019
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April 23, 2013 stat 400 exam 2. You must show all appropriate work in order to receive full credit for an answer: before handing in your test: on your first answer sheet only, please copy the pledge and sign. Answer question 1 on answer page 1: (12 points) in a parking garage, the random variable x = time (in hours) between car alarms going off has probability density function tf. Verify that f(t) meets both criteria for being a probability density function. Determine the cumulative distribution function for random variable x. Give both an exact value answer and an approximation rounded to 4 decimal places. Answer question 2 on answer page 2: (16 points) suppose x and y are random variables defined on the same sample space with the following joint probability mass function. y x. Find the marginal probability functions for x and y. You must show the work that justifies your answer.
