Question

6.149 Exercise. In the online TIME article "America's Health Checkup." A. Park reported that 40% of U.S. adults get no ex- crcise. Il 250 U.S. adults are selected at random, determine the probability that the number who get no exercise a. is exactly 40% of those sampled b. exceeds 40% of those sampled. c. is fewer than 90. 6.150 Food Safety. An article titled "You're Eating That?". pub- lished November 26, 2007, online by the New York Times, dis- cussed consumer perception of food safety. The article cited re- search by the Food Marketing Institute that indicates that 66% of consumers in the United States are confident that the food they buy is safe. Suppose that 200 consumers in the United States are randomly sampled and asked whether they are confident that the food they buy is safe. Determine the probability that the number answering in the affirmative is a. exactly 66% of those sampled . at most 66% of those sampled c. at least 66% of those sampled.

Answer 1

-Ana- Geven 6-149 of os adulb 7eli exesease - p01 9 l-P1-0 40 0.60 O60 Given Sample cize ma 25D 100 l00 404 ot the sample 46 p Xr00 Undee Binonmial Distributn Now cOnsiduu CLo othose Smplad trat exacty probabileby - PCx = l00)? mo exesedAe 20-100 20 PCx-lo0)= Co p0 O.0515 .O5145 PCx-too)O0SI5

Probabilty that the number b those who get 4o Jot those mpladP(x> toe)-? excaads excereide 2D FCxto0) 2s0 250 lo1 O4926 2PCT00 Prsbabiliy fewer O4926 oho get PCx<0? no exeielse that the numbea than 90 250 .6869 .PCxe) O.0870 Centident 6-150 ale Given 66 ocustomes th food they buy Aa that 0.66 30. 34 0.66 91-P 9-0.340 n e200 Given Samplh

664 ot these Sampled X 66 leo 32 X 132 Now Binomial Destibutoo Onder consider fh the dtftamatin pabadilty antiwering exocty 461 f those Sampldd Plxe 132)-? Co 66) that 132 200c 2co-132 Co.34) PC132) 132 O.0595 O.O595 anuoeai atmast EC ot those ampledPCx 132)-? h the affemare Pobability that no. 132 200 32 (o66(o.34) 200- PCXE182)- ) o.5266 A7 PCXS132) O-5266 mo answag &the affim 66t ot thore Sample d P(xsi), 드 Probabilty that es atteast PCxz 132-2 200 200 200 f (x리 132)= -13 2 13 2 o. 5329 7 0.S329 Plx Z18)-