Question 323880
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.