A 2001 Agriculture Department study of more than 9,400 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 pesticide as organic foods. Of the organic foods tested, 23% had pesticide residues, which include 12% with multiple pesticide residues. Compute two probability distributions: one for conventional produce and one for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide, has residues from a single pesticide, and has residues from multiple pesticides.
A)The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.72, has residues from multiple pesticides is 0.01. The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.77, has residues from a single pesticide is 0.12, has residues from multiple pesticides is 0.11.
B) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.01, has residues from a single pesticide is 0.27, has residues from multiple pesticides is 0.73.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.77, has residues from a single pesticide is 0.11, has residues from multiple pesticides is 0.12.
C) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.01, has residues from multiple pesticides is 0.72.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.23, has residues from a single pesticide is 0.77, has residues from multiple pesticides is 0.12.
D) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.01, has residues from multiple pesticides is 0.72.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.73, has residues from a single pesticide is 0.11, has residues from multiple pesticides is 0.12.
E) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.01, has residues from multiple pesticides is 0.72.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.77, has residues from a single pesticide is 0.11, has residues from multiple pesticides is 0.12.

Question

A 2001 Agriculture Department study of more than 9,400 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 pesticide as organic foods. Of the organic foods tested, 23% had pesticide residues, which include 12% with multiple pesticide residues. Compute two probability distributions: one for conventional produce and one for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide, has residues from a single pesticide, and has residues from multiple pesticides. ​
A)The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.72, has residues from multiple pesticides is 0.01. The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.77, has residues from a single pesticide is 0.12, has residues from multiple pesticides is 0.11.
B) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.01, has residues from a single pesticide is 0.27, has residues from multiple pesticides is 0.73.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.77, has residues from a single pesticide is 0.11, has residues from multiple pesticides is 0.12.
C) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.01, has residues from multiple pesticides is 0.72.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.23, has residues from a single pesticide is 0.77, has residues from multiple pesticides is 0.12.
D) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.01, has residues from multiple pesticides is 0.72.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.73, has residues from a single pesticide is 0.11, has residues from multiple pesticides is 0.12.
E) The probability distribution for conventional produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.27, has residues from a single pesticide is 0.01, has residues from multiple pesticides is 0.72.
The probability distribution for organic produce, showing the estimated probabilities that a randomly selected product has no pesticide is 0.77, has residues from a single pesticide is 0.11, has residues from multiple pesticides is 0.12.

Quizplus · Accepted Answer

For conventional produce, 73% had pesticide residues, implying 27% had no pesticides. Since they are six times as likely to contain multiple pesticides compared to organic, and given the organic multiple pesticide rate is 12%, the conventional multiple pesticide rate is not directly provided but can be inferred from the context. For organic produce, 23% had pesticide residues, with 12% having multiple residues, implying 11% had a single pesticide residue and 77% had no pesticides. The correct distribution aligns with these calculations.

A 2001 Agriculture Department Study of More Than 9,400 Samples