Leghorn chickens are raised for laying eggs. Suppose the prob-ability of a female chick hatching from an egg is p = 0.5. Assume independence amongtheeggs. Suppose we have 10 eggs.(a) What is the probability that 6 chicks will be female?(b) What is the probability 8 or more chicks will be female?(c) What is the probability 3 or fewer chicks will be female?(d) What is the probability between 3 and 6 chicks will be female?(e) What is the expected number of female chicks?3

Question
Asked Dec 9, 2019
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Can you do a, b, c?

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Expert Answer

Step 1

The provided information are;

Probability of success (p) = 0.5

Number of trials (n) = 10

Step 2

Consider, X be the random variable that represents the number of chicks that will be female is binomially distributed with the parameters n = 10 and p = 0.5.

(a)

The probability that 6 chicks will be female can be calculated as:

Step 3

(b)

The probability that 8 or more c...

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