# A recent article in the Journal of Urban Chicken Farmers reported the fraction of chickens thatexperience severe, moderate, or minor side effects from a new diet are 0.07, 0.15, and 0.78,respectively. Assuming that chickens respond independently, if 18 chickens were tested on the new diet,what is the:3.Probability that 2,4, and 12 chickens will suffer severe, moderate, or minor side effects,respectively?Probability that no chickens will suffer severe side effects?Mean number of chickens that will suffer severe side effects?Variance in the number of chickens that will suffer severe side effects?Conditional mean of the number of chickens that suffer severe side effects given that 17suffer minor side effects.a.b.C.d.e.

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Step 1

Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three subparts. If you need any specific sub-part to be answered, please submit that particular sub-pat or specify the subpart number in the message box.

Step 2

Multiplication rule for independent events:

If two events A and B are independent, then the multiplication rule states that:

Step 3

a.Finding the probability that 2, 4 and 12 chickens will suffer severe, moderate or minor side effects:

Let A denote the number of chickens that experience severe side effects from a new diet. The probability that the chickens experience severe side effects from a new diet is 0.07. That is, P(A)=0.07.

Also, let B denote the number of chickens that experience moderate side effects from a new diet. The probability that chickens experience moderate side effects from a new diet is ...

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