Question

In: Statistics and Probability

4. Emily likes bird watching. Every year she takes a vacation to a park famous for...

4. Emily likes bird watching. Every year she takes a vacation to a park famous for

its rare birds. She goes there for 10 days. From her past experience, she knows that on

average she can get 6 good sightings a day. A very good day for her is a day with at least

10 good sightings. Assume Poisson distribution of the number of good sightings on any day

(independently of other days).

a) What is the probability that she can get at least one very good day this time?

b) What is the expected number of very good days during this vacation?

c) What is the expected number of days she has to go bird watching in this park before

getting one very good day?

d) Extra credit: What should the average number of good sightings per day be so that

the probability that she gets at least one very good day during this vacation be at least 0.9?

Solutions

Expert Solution


orchestra answered 1 year ago
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