Question

A basket contains 15 ​eggs, 5 of which are cracked. If we randomly select 8 of...

A basket contains 15 ​eggs, 5 of which are cracked. If we randomly select 8 of the eggs for hard​ boiling, what is the probability of the following​ events?

a. All of the cracked eggs are selected. Round to four decimal places as​ needed.

b. None of the cracked eggs are selected.

c. Two of the cracked eggs are selected.

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Answer #1

Let X denotes the number of cracked eggs out of 8 randomly selected eggs.

X ~ Binomial(n = 8, p = 5/15 = 0.33333)

The probability mass function of X is

a) The probability that all of the cracked eggs are selected

b) The probability that none of the cracked eggs are selected

c) The probability that two of the cracked eggs are selected

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