Beet nnanuefoerer. Is testing tke abrlcys of Cuustamers to recognize thei -favex

Question

Beet nnanuefoerer. Is testing tke abrlcys of Cuustamers to recognize thei -favexdl e braid of bee . The beer manulacfuveS place four unmarked cups of hke beek in-front-ofa- Consu mer, The consuunmer takes sips of each beer, and then teils thre reseader uhic of the de n marted beers.. is the, beer -that they drink at home. The reseachers pelieves thed Comsumers can nee their favoite brond ol beer and mast qus at the cotrect beer. The reseacker test e different consu meis teday th.s is-Irue, that con saners-carrot dentily their Favente beer and ost guess ulat s the prcablity tet tlu consumers will-. correctly. GLLLL) he brant of lbecr 7 | exa.dkl (o ccmsumver g will cowcct 1 erped to gess correchty their brardi a) How many cun scumeis woold youu beer

Explanation / Answer

Solution:

We have n (number of consumers) = 8 and p (correct guess) = 1/4

Using binomial distribution, we have

P ( X = x) = 8Cx (1/4)^x (3/4)^8 - x

a. P (X=4) = 8C4 (1/4)^4 (3/4)^4

P(X = 4) = 0.0865

b. P (X = 0) = 8C0 (1/4)^0 (3/4)^8

P (X = 0) = 0.1001

c. P (X = 6) = 8C6 (1/4)^6 (3/4)^2

P (X = 6) = 0.0038

d. Number of consumer = np = 8*1/4 = 2

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