16
QuizMultiple Choice

N/A — Exam

Question 16 • Statistics

The probability that a mature hen will lay an egg on a given day is 0 point 8 0 Hannah has 12 hens. What is the probability that 10 of the 12 hens will lay eggs on a given day?

Answer
A
0 point 2 8
B
0 point 0 5
C
0 point 1 1
D
0 point 2 0

Explanation

Use the binomial probability formula for exactly 10 hens laying eggs: choose 10 of the 12 hens, then multiply by the probability those 10 lay and the other 2 do not. This gives C(12,10) × 0.8^10 × 0.2^2 = 66 × 0.8^10 × 0.2^2 ≈ 0.283. Rounded to two decimal places, the probability is 0.28, choice A.

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