<PRE><B>Question 519125</B>
carton contains 10 eggs, 3 of which are cracked. If you randomly select 5 of the eggs for hard boiling, what is the probability of the following events?
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Binomial Problem with n = 5 and p(cracked) = 0.3 ; p(not cracked) = 0.7
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i. All of the cracked eggs are selected.
P(x = 3) = 5C3(0.3)^3*0.7^2 = 0.1323
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ii. None of the cracked eggs are selected.
P(x = 0) = 5C0*0.3^0*0.7^5 = 0.1681
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iii. Two of the cracked eggs are selected.
P(x = 2) = 5C2(0.3)^2*0.7^3 = 0.3087
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Cheers,
Stan H.
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