HW1 - make matters your cell phone decides that this is the...

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BME 335: Engineering Probability and Statistics Spring 2011 Homework 1 Due: Thursday Feb 3 rd in class 1. [24 pts] Describe the following checkered regions using set notation: 2. [20 pts] Consider the three sets (A, B and C) as shown in the figure below. The individual probabilities of the regions a through g are: P(a) = P(b) = P(c) = 0.2; P(d) = P(e) = P(f) = 0.1 and P(g) = 0.05. Find: P[(A C) (A B) (B C)] A B C A B C D A B C A B C a d b c e f g D E
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3. [20 pts] The probability that team X wins a post season tournament is 1/6. The probability that the team X is the number one seed in the tournament is 1/12. If the probability that team X wins the tournament, given that it is the number one seed is 1/3, what is the probability that it wins the tournament and is the number one seed? Express your answer as a single fraction. 4. [20 pts] You are traveling to Chicago to meet a friend. Upon arriving there, you realize that your friend forgot to show up at the airport to pick you up. To
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Unformatted text preview: make matters your cell phone decides that this is the best time to stop working. You want to call your friend, but cannot remember his phone number. However, after some thought you remember that the last four digits of his phone number are 8636. Further, a helpful but knowledgeable stranger tells you that all local telephone numbers start with 4, 6, 7 or 9. Considering that you have plenty of time on your hands, you decide to try all possible combinations. If each local phone call costs 10cents and you have $15 to spend on the telephone calls, what is the probability that you will be able to call your friend before your money runs out? 5. [16 pts] Polymers are to be created from three kinds subunits. There are 5 subunits of type A, 4 of type B, and 1 of type C. How many different 10-unit polymers are possible?...
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HW1 - make matters your cell phone decides that this is the...

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