Question

Use the binomial distribution formula to determine the probability that in a carton of 18 eggs,...

Use the binomial distribution formula to determine the probability that in a carton of 18 eggs, that at least one 1 egg will be broken, if the probability of a broken egg is 0.08. Round your answer to the nearest hundredth.

P ( x = k ) = n ! k ! ( n − k ) ! p k ( 1 − p ) n − k

Hint: Use the complement rule. If at least one egg is broken, then that means 1 or 2 or 3 or....or all 18 eggs are broken. Whats missing from that list of possibilities?

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Answer #1

Binomial dist PIX=x)= nCzfagn. 2=0, 1,2,. .n. given n - 18 p= 0.08 9= 0.92. Pl at least one egg broken) = PLX >1) + P(X=10) P

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