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Exam 1 Practice Questions I - MIT OpenCourseWare

Exam 1 Practice Questions I, , Spring 2014 Note: This is a set of Practice problems for exam 1. The actual exam will be much shorter. 1. There are 3 arrangements of the word DAD, namely DAD, ADD, and DDA. How many arrangements are there of the word probability ? 2. There are six men and seven women in a ballroom dancing class. If four men and four women are chosen and paired off, how many pairings are possible? 3. Let A and B be two events. Suppose the probability that neither A or B occurs is 2/3. What is the probability that one or both occur? 4. Let C and D be two events with P (C) = , P (D) = , and P (C D) = What is P (Cc D)?

always X minutes late, where X is an exponential random variable with probability density function f. X (x) = λe −λx. Suppose that you arrive at the bus stop precisely at noon. (a) Compute the probability that you have to wait for more than five minutes for the bus to arrive. (b) Suppose that you have already waiting for 10 minutes.

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