SOLUTION: 78% of lobsters caught along the Maine coast have a larger right claw than left claw. If a lobster boat pulls into the Fishermen's Pier with 400 lobsters, what is the probability t

Question 520348: 78% of lobsters caught along the Maine coast have a larger right claw than left claw. If a lobster boat pulls into the Fishermen's Pier with 400 lobsters, what is the probability that:
a.) 350 or more lobsters will have a larger right claw?
b.) 325 or fewer lobsters will have a larger right claw?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
78% of lobsters caught along the Maine coast have a larger right claw than left claw. If a lobster boat pulls into the Fishermen's Pier with 400 lobsters, what is the probability that:
Binomial Problem with n = 400 and p(large right) = 0.78
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a.) 350 or more lobsters will have a larger right claw?
P(350 <= x <= 400) = 1 - binomcdf(400,0.78,349) = 0.0000007616
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b.) 325 or fewer lobsters will have a larger right claw?
P(0<= x<= 325) = binomcdf(400,0.78,325) = 0.9505
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Cheers,
Stan H.
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