Question

The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 12 hens. What is the probability that 10 of the 12 hens will lay eggs on a given day? 0.05 0.11 0.20 0.28

Answer 1

Answer: 0.28

Step-by-step explanation:

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Answer 2

Answer: 0.28

Step-by-step explanation:

Binomial probability formula :

$P(X=x)=\ ^nC_xp^x(1-p)^x$ , where  x = Number of success , n= sample size , p= probability of success for each trial.

Let x = Number of hens lay eggs.

then, p=  0.80

n= 12

For x=10

$P(x=10)=\ ^{12}C_{10}(0.80)^{10}(0.20)^{2}\\\\=\dfrac{12!}{10!2!}\times 0.1073741824\times 0.04\\\\\approx0.28$

Hence, the required probability = 0.28