calculate the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident occurs.

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30-11-2022
Mathematics

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calculate the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident occurs.

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smecloudbird18 smecloudbird18 · Answer 1 · 2022-12-02T15:36:29-05:00

To calculate the probability that there will be at least four accident in no accident occur before the forth month in which at least one accident occurs

If a month with one or more accidents is regarded as success and let the

k = the number of failures before the fourth success, and then k follows a negative binomial distribution and the requested probability is

1. success taken as a month with no accident

2. k = the number of failure before the fourth success

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