Question

An Agriculture Department study of more than 94,000 samples from more than 20 crops showed that 73% of conventionally grown foods had residues from at least one pesticide. Moreover, conventionally grown foods were six times as likely to contain multiple pesticides as organic foods. Of the organic foods tested, 21. had pesticide residues, which includes 8% with multiple pesticide residues. Compute two estimated probability distributions: one for conventional produce and one for organic produce, showing the relative frequencies that a randomly selected product has no pesticide residues, has residues from a single pesticide, and has residues from multiple pesticides. Probability distribution for conventionally grown produce Outcome No Pesticide Single Pesticide Multiple Pesticide Probability 27 Probability distribution for organic produce Outcome No Pesticide Single Pesticide Multiple Pesticide Probability Enter a number Need Help? Tatour

Answer 1

conventionally grown produce Given that Prob cat least 1 pesticide) = 073 - PC no presticide] = 1-0.13= 0.27 v Also 1/6 -0.1667 v p (multiple pesticide) P ( 1 single pesticide) : 1-0.27-0.1667 -0.5633 v 0.27 - Answer Outcome No Pesticide Single pesticide multiple Pesticide Probability 0.17 0.56 © for organic produce Given that P ( pesticide] =0.21 I-0.21 0.79 ✓ y plno pesticidi) Prob (multiple pesticides -0.08 ✓ P(single pesteide} = 0.21-0.08 = 0.13 v Answer Mo Pesticide Outcome Probability single pesticide multiple pesticide 0.13 0.08. 0.79