An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year. (a) How many loads can be expected to occur during a 4-year period? loads (b) What is the probability that more than eleven loads occur during a 4-year period? (Round your answer to three decimal places.) (c) How long must a time period be so that the probability of no loads occurring during that period is at most 0.2? (Round your answer to four decimal places.) yr
An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year. (a) How many loads can be expected to occur during a 4-year period? loads (b) What is the probability that more than eleven loads occur during a 4-year period? (Round your answer to three decimal places.) (c) How long must a time period be so that the probability of no loads occurring during that period is at most 0.2? (Round your answer to four decimal places.) yr
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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![**Poisson Process for Structural Loads**
An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year.
- **(a)** How many loads can be expected to occur during a 4-year period?
- *Answer: [_____] loads*
- **(b)** What is the probability that more than eleven loads occur during a 4-year period? (Round your answer to three decimal places.)
- *Answer: [_____]*
- **(c)** How long must a time period be so that the probability of no loads occurring during that period is at most 0.2? (Round your answer to four decimal places.)
- *Answer: [_____] yr*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F390df6bc-8765-4adb-882a-689888791ad2%2F27a5c47b-dd6a-495e-bcfb-7e57a82b21cd%2F3bgwn8b_processed.png&w=3840&q=75)
Transcribed Image Text:**Poisson Process for Structural Loads**
An article suggests that a Poisson process can be used to represent the occurrence of structural loads over time. Suppose the mean time between occurrences of loads is 0.4 year.
- **(a)** How many loads can be expected to occur during a 4-year period?
- *Answer: [_____] loads*
- **(b)** What is the probability that more than eleven loads occur during a 4-year period? (Round your answer to three decimal places.)
- *Answer: [_____]*
- **(c)** How long must a time period be so that the probability of no loads occurring during that period is at most 0.2? (Round your answer to four decimal places.)
- *Answer: [_____] yr*
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