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Studentka2010 [4]
11 months ago
5

Uhh .. im stuck and this is area model ..

Mathematics
1 answer:
klasskru [66]11 months ago
7 0

Solution

for this case we can do the following multiplicating the two terms

7x(5x^2)+7x(9x)+7x(6)+4(5x^2)+4(9x)+4(6)

If we multiply we got:

35x^3+63x^2+42x+20x^2+36x+24

And if we simplify we got:

35x^3+73x^2+78x+24

x 5x^2 9x 6

7x 35x^2 63x^2 42x

4 20x^2 36x 24

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Given that an American is a male, what is the probability that he prefers name-brand milk? b. Given that an American is a female
Evgesh-ka [11]

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b) 0.300

c) No, preference is not independent of gender. Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not completely, statistically independent. It's very close though.

Step-by-step explanation:

Let the probability that the somebody surveyed is a male be P(M)

Let the probability that somebody surveyed is female be P(F)

Let the probability that somebody surveyed picked the name-brand milk be P(N)

Let the probability that somebody surveyed picked the store-brand milk be P(St)

Let the probability that somebody surveyed picked the something else be P(So)

a) Given that an American is a male, what is the probability that he prefers name-brand milk = P(N|M) = 319/1138 = 0.280

b) Given that an American is a female, what is the probability that she prefers name-brand milk = P(N|F) = 341/1138 = 0.300

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