SOLUTION: A restaurant buys 61% of its produce from teh local farmers' market and the rest from a grocery store. If 0.5% of the farmers' market produce contains pesticides and 6.1% of the g

Algebra ->  Probability-and-statistics -> SOLUTION: A restaurant buys 61% of its produce from teh local farmers' market and the rest from a grocery store. If 0.5% of the farmers' market produce contains pesticides and 6.1% of the g      Log On


   

Question 323880: A restaurant buys 61% of its produce from teh local farmers' market and the rest from a grocery store. If 0.5% of the farmers' market produce contains pesticides and 6.1% of the grocery produce contains pesticides, find the following probabilities.
a. That the restaurant's produce is from the grocery store and contains pesticides.
b. That the produce does not contain pesticides.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A restaurant buys 61% of its produce from teh local farmers' market and the rest from a grocery store.
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If 0.5% of the farmers' market produce contains pesticides and 6.1% of the grocery produce contains pesticides, find the following probabilities.
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a. That the restaurant's produce is from the grocery store and contains pesticides.
P(gs AND pest) = P(pest|gs)*P(gs) = 0.061*0.39 = 0.0238
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b. That the produce does not contain pesticides.
P(no pest) = P(no pest AND gs) + P(no pest AND fm)
= P(no pest|gs)*P(gs) + P(no pest|fm)*P(fm)
= 0.939*0.39 + 0.995*0.61
= 0.9701
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Cheers,
Stan H.