23. An advertisement for brand A chicken noodle soup claims that 60% of allconsumers prefer brand A over brand B, the chief competitor's product. Totest this claim, David Horowitz, host of The Consumer Advocate, selected tenpeople at random from the audience. After tasting both soups, each personwas asked to state his or her preference. Assuming the company's claim iscorrect, find the probability that...(A) The company's claim was supported by the experiment; that is, six ormore people stated a preference for brand A.sicenoy mcbrsyeh te 1S20 sthic alomat.6jo.x/idedci.ormoneb31yanst d:9 niehip to edmun er0am3t0 ylidadong adi boa (A)imst chrb 9vd stchipc brs 28 010 idadovo adt bR (A)ayoiuie kpInaminogxa Entstaionid od 1OUnteno (a)iw balsboees meypotet.eri wepngou sug qu9(B) The company's claim was not supported by the experiment; that is,fewer than six people stated a preference for brand A.(CDonepldsovmobrsi erid io oDeiveb bhsbact prd o hoem.pui iugh

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Asked Dec 4, 2019
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23. An advertisement for brand A chicken noodle soup claims that 60% of all
consumers prefer brand A over brand B, the chief competitor's product. To
test this claim, David Horowitz, host of The Consumer Advocate, selected ten
people at random from the audience. After tasting both soups, each person
was asked to state his or her preference. Assuming the company's claim is
correct, find the probability that...
(A) The company's claim was supported by the experiment; that is, six or
more people stated a preference for brand A.
sicenoy mcbrsyeh te 1S
20 sthic alomat.6jo.x/idedci.orm
oneb
31yanst d:
9 niehip to edmun er
0am
3t0 ylidadong adi boa (A)
imst chrb 9vd stchipc brs 28 010 idadovo adt bR (A)
ay
oiuie kp
Inaminogxa En
tstaionid od 1OUnteno (a)
iw balsboees meypotet.eri we
pngou sug qu9
(B) The company's claim was not supported by the experiment; that is,
fewer than six people stated a preference for brand A.
(CD
one
pldsovmobrsi erid io oDeiveb bhsbact prd o hoem.pui iugh
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23. An advertisement for brand A chicken noodle soup claims that 60% of all consumers prefer brand A over brand B, the chief competitor's product. To test this claim, David Horowitz, host of The Consumer Advocate, selected ten people at random from the audience. After tasting both soups, each person was asked to state his or her preference. Assuming the company's claim is correct, find the probability that... (A) The company's claim was supported by the experiment; that is, six or more people stated a preference for brand A. sicenoy mcbrsyeh te 1S 20 sthic alomat.6jo.x/idedci.orm oneb 31yanst d: 9 niehip to edmun er 0am 3t0 ylidadong adi boa (A) imst chrb 9vd stchipc brs 28 010 idadovo adt bR (A) ay oiuie kp Inaminogxa En tstaionid od 1OUnteno (a) iw balsboees meypotet.eri we pngou sug qu9 (B) The company's claim was not supported by the experiment; that is, fewer than six people stated a preference for brand A. (CD one pldsovmobrsi erid io oDeiveb bhsbact prd o hoem.pui iugh

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Expert Answer

Step 1

Given data

Probability of consumers preferring brand A (p) = 0.60

n = 10

Let X be the random variable that denotes no of people that prefer brand A

A)

Probability that six or more people...

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()x р* x (1—р)"-х P(X = x) = P(X > 6) = 1– P(X <6) = 1 – P(X < 5) P(X < 5) = 0.367 (From Excel = BINOM.DIST(5,10,0.6, TRUE)) P(X > 6) = 1 – P(X < 5) = 1 – 0.367 = 0. 633 Probability that six or more people stated a preference for brand A is 0.633

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