FOOD. Periodically, the Food and Drug Administration (FDA) produces a report as part of its pesticide monitoring program. The FDA's report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. Recently, the FDA reported that no pesticides at all were found in 91% of the domestically produced vegetable samples (Pesticide Monitoring Program: Fiscal Year 2017 Pesticide Report, US Food and Drug Administration). Consider a random sample of 800 vegetable items analyzed for the presence of pesticides. a. Compute u and o for the random variable x, the number of vegetable items that showed no trace of pesticide. b. Based on a sample of 800 vegetable items, is it likely you would observe less than half without any traces of pesticide? Explain.

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OU
--------
ww
NW 4.57 FDA REPORT ON PESTICIDES IN
FOOD. Periodically, the Food and Drug
Administration (FDA) produces a report as part of
its pesticide monitoring program. The FDA's
report covers a variety of food items, each of
which is analyzed for potentially harmful chemical
compounds. Recently, the FDA reported that no
pesticides at all were found in 91% of the
domestically produced vegetable samples.
(Pesticide Monitoring Program: Fiscal Year 2017
Pesticide Report, US Food and Drug
Administration). Consider a random sample of 800
vegetable items analyzed for the presence of
pesticides.
a. Compute u and o for the random variable
x, the number of vegetable items that
showed no trace of pesticide.
b. Based on a sample of 800 vegetable items,
is it likely you would observe less than half
without any traces of pesticide? Explain.
Transcribed Image Text:OU -------- ww NW 4.57 FDA REPORT ON PESTICIDES IN FOOD. Periodically, the Food and Drug Administration (FDA) produces a report as part of its pesticide monitoring program. The FDA's report covers a variety of food items, each of which is analyzed for potentially harmful chemical compounds. Recently, the FDA reported that no pesticides at all were found in 91% of the domestically produced vegetable samples. (Pesticide Monitoring Program: Fiscal Year 2017 Pesticide Report, US Food and Drug Administration). Consider a random sample of 800 vegetable items analyzed for the presence of pesticides. a. Compute u and o for the random variable x, the number of vegetable items that showed no trace of pesticide. b. Based on a sample of 800 vegetable items, is it likely you would observe less than half without any traces of pesticide? Explain.
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It is given that n = 800 and p = 0.91.

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