Question

A photographer has set up a motion sensitive camera photographing Bengal Tigers. On average the photograph...

A photographer has set up a motion sensitive camera photographing Bengal Tigers. On average the photograph captures pictures at a rate of 4.5 tigers per month. What is the probability that we capture our first tiger on film the first day? (assume 30 days/month)

Math   Statistics-And-Probability   
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Answer #1

First tiger on film the first day means we get 1 or more tiger on film in one day.

On average the photograph captures pictures at a rate of 4.5 tigers per month. Therefore, on average the photograph captures pictures at a rate of 4.5/30 = 0.15 tigers per day.

We can use Poisson distribution with mean and probability formula:

Therefore, the probability that we capture our first tiger on film the first day is:

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