A biologist needs at least 4 mature specimens of a certain plant. The plant needs a...

A biologist needs at least 4 mature specimens of a certain plant. The plant needs a year to
reach maturity; once a seed is planted, any plant will survive for the year with probability
1/1000 (Independently of other plants). The biologist plants 2000 seeds. A year is deemed a
success if 4 or more plants from these seeds reach maturity.
a. Write down the exact expression for the probability that the biologist will indeed end up
with at least 4 mature plants.
b. Write down the relevant approximate expression for the probability from (a). Justify
briefly the approximation.
c. The biologist plans to do this year after year. What is the approximate probability that he
has at least 3 success in 8 years?

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Expert Solution

orchestra answered 1 year ago

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