Midterm1

# Midterm1 - Math 311 Probability and Statistics I Midterm#1 Your name Reminder Explain your answers Show your work 1 2(1(20pts Seventy percent of

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2 (1) (20pts) Seventy percent of the light aircraft that disappear while in ﬂight in a certain country are subsequently discovered. Of the aircraft that are discovered, 60% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disap- peared. a) If it has an emergency locator, what is the probability that it will not be discovered ? b) If it does not have an emergency locator, what is the probability that it will be discovered ?
3 (2) (20 pts) Consider this experiment: I throw two (fair and independent) dice, and observe the sum of the two numbers. I keep throwing until I see a sum of either 7 or 8, then I stop. So an example of an outcome is (3 , 5 , 8), another example is (9 , 5 , 3 , 2 , 9 , 7), yet another example is (8). (Warning: do not mix up this problem with the one in the sample exam.)

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## This note was uploaded on 11/14/2010 for the course MATH 311 taught by Professor Yu during the Spring '08 term at Drexel.

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Midterm1 - Math 311 Probability and Statistics I Midterm#1 Your name Reminder Explain your answers Show your work 1 2(1(20pts Seventy percent of

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