A box holds $240$ eggs. The probability that an egg is brown is $0.05$. Find the expected number

Question

A box holds $240$ eggs. The probability that an egg is brown is $0.05$. Find the expected number of brown eggs in the box.[2] Find the probability that there are $15$ brown eggs in the box. [2] Find the probability that there are at least $10$ brown eggs in the box. [3]

Accepted Answer

$P(X\ge10)=1-P(X\le9)=0.7643$.

Use a binomial model to find an expectation, an exact probability and a cumulative probability.

Use a binomial model to find an expectation, an exact probability and a cumulative probability.

Solution:

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