Question

According to a study, 1 in every 8 chickens has been a victim of being caged...

According to a study, 1 in every 8 chickens has been a victim of being caged at some point in their lifetime. Suppose we have randomly and independently sampled twenty-five chickens and asked each whether they were a victim of being caged at some point in their life. Find the probability that at most 3 of the chicken sampled have been the victim of caging.

Homework Answers

Answer #1

The probability that a randomly selected chicken has been a victim of being caged at some point in their lifetime

Let X denotes the number of chickens who said that they were a victim of being caged at some point in their life in a random sample of 25 chickens.

Here,

X ~ Binomial(n = 25, p = 0.125)

The probability mass function of X is

Now,

The probability that at most 3 of the chicken sampled have been the victim of caging

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