The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3.500 accidents per year.   1. Find the mean waiting time between accidents. (Round the final answer to four decimal places.) 2. Find the standard deviation of the waiting times between accidents. (Round the final answer to one decimal place.) 3. Find the probability that more than one year elapses between accidents. (Round the final answer to four decimal places.) 4. Find the probability that less than one month elapses between accidents. (Round the final answer to four decimal places.) 5. If no accidents have occurred within the last six months, what is the probability that an accident will occur within the next year? (Round the final answer to four decimal places.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 53E
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The number of traffic accidents at a certain intersection is thought to be well modeled by a Poisson process with a mean of 3.500 accidents per year.

 

1. Find the mean waiting time between accidents. (Round the final answer to four decimal places.)

2. Find the standard deviation of the waiting times between accidents. (Round the final answer to one decimal place.)

3. Find the probability that more than one year elapses between accidents. (Round the final answer to four decimal places.)

4. Find the probability that less than one month elapses between accidents. (Round the final answer to four decimal places.)

5. If no accidents have occurred within the last six months, what is the probability that an accident will occur within the next year? (Round the final answer to four decimal places.)

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