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the probability that a mature hen will lay an egg on a given day is 0.8…

Question

the probability that a mature hen will lay an egg on a given day is 0.80. hannah has 6 hens. using the table, what is the probability that at least 2 of the hens will lay eggs on a given day?

0.015
0.017
0.983
0.998

Explanation:

Step1: Use the complement rule

The probability of at least 2 eggs is \(P(X\geq2)=1 - P(X = 0)-P(X = 1)\)

Step2: Substitute the values from the table

We know \(P(X = 0)=0.000064\) and \(P(X = 1)=0.002\)

$$ LATEXBLOCK0 $$

Answer:

0.998