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Katyanochek1 [597]
3 years ago
6

It is worked out that 4 ladles full of soup each will feed 160 people. The customers have complained in the past that the portio

ns are too small. The cook decides to give 5 ladles full of soup to each person. How many people can now be fed soup?
Mathematics
1 answer:
polet [3.4K]3 years ago
7 0
160 people x 4 ladle/1 person = 640 ladles full
640 ladles x 1 person/5 ladles = 128 people fed
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k0ka [10]

We're given the following probabilities:

P(A_1)=0.30

P(A_2)=0.55

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(a) Yes, A_1 and A_2 are mutually exclusive. This is exactly what zero probability of their intersection means. The two events cannot occur simultaneously.

(b) Use the definition of conditional probability to expand:

P(A_1\cap B)=P(A_1)P(B\mid A_1)=0.30\cdot0.20=0.06

P(A_2\cap B)=P(A_2)P(B\mid A_2)=0.55\cdot0.05=0.0275

(c) By the law of total probability,

P(B)=P(A_1\cap B)+P(A_2\cap B)=0.06+0.0275=0.0875

(d) Bayes' theorem says

P(A_1\mid B)=\dfrac{P(A_1)P(B\mid A_1)}{P(B)}=\dfrac{0.30\cdot0.20}{0.0875}\approx0.686

P(A_2\mid B)=\dfrac{P(A_2)P(B\mid A_2)}{P(B)}=\dfrac{0.55\cdot0.05}{0.0875}\approx0.314

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3 years ago
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kumpel [21]

Answer:

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Step-by-step explanation:

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<em>    (-1)</em>

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<em></em>

<em>Hope this helps you</em>

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2 years ago
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Nonamiya [84]

Answer:

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white = 0.22

pink = 0.24

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