Probability Statistics

Question

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What would be the answer please?

The mean number of accidents in a shoe factory is 0.10 per day. What is the probability that during a randomly selected day, there will be:

a) no accidents

b) exactly 1 accident

c) at least 1 accident

milnez Sep 17, 2016

+33654

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Best Answer

The Poisson distribution gives the probability of k events in an interval as $p = \frac{\lambda^ke^{-\lambda}}{k!}$ where $\lambda$ is the mean.

So:

1. $p(k=0)=e^{-0.1} \rightarrow 0.905$

2. $p(k=1)=0.1e^{-0.1} \rightarrow 0.0905$

3. Ther probability of at least one accident is 1 - (the probability of exactly no accidents plus the probability of exactly one accident).

Alan Sep 17, 2016

Alan · Answer 1 · 2016-09-17T09:14:55

The Poisson distribution gives the probability of k events in an interval as $p = \frac{\lambda^ke^{-\lambda}}{k!}$ where $\lambda$ is the mean.

So:

1. $p(k=0)=e^{-0.1} \rightarrow 0.905$

2. $p(k=1)=0.1e^{-0.1} \rightarrow 0.0905$

3. Ther probability of at least one accident is 1 - (the probability of exactly no accidents plus the probability of exactly one accident).