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Barbara is an avid bird watcher. From past experience, she estimates that she can find the...

Barbara is an avid bird watcher. From past experience, she estimates that she can find the average of 2 rare birds per hour close enough to take a good picture, in the neighboring woods. She believes that birds can occur equally likely at any time moment so that the distribution of the number of close sightings in any time interval is Poisson.

a) She decides to go for a two hour walk. What is the probability that she’ll be able to make at least five good pictures of rare birds?

b) How long has her walk to be so that she can be 90% sure to be able to take at least five good pictures of rare birds?

math   Statistics-And-Probability   
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