Math 472 Spring 2011 Poisson Processes Lecture Examples

# Math 472 Spring 2011 Poisson Processes Lecture Examples -...

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MATH 471: Actuarial Theory I Poisson Processes: Lecture Examples 1. You have just been assigned to watch cars pass at a rural intersection and to model the number of cars passing as a Poisson process with parameter 3. Time is measured in minutes. (a) Calculate the probability that zero cars will pass by in the next two minutes. (b) Calculate the probability that two cars will pass by in the next two minutes. (c) Calculate the probability that two cars will pass by between one and three minutes from now. (d) Calculate the expected number of cars that will pass by within the next 2.5 minutes. 1

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2. A member of a high school math team is practicing for a contest. Her advisor has given her three practice problems: No. 1, No. 2, and No. 3. She randomly chooses one of the problems, and works on it until she solves it. Then she randomly chooses one of the remaining unsolved problems, and works on it until solved. Then she works on the last unsolved problem. If she solves all of No. 1, No. 2, and No. 3, she then works on additional practice problems.
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Math 472 Spring 2011 Poisson Processes Lecture Examples -...

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