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Gnom [1K]
4 years ago
13

You randomly sample 5 people in your​ school, and none of them is a vegetarian. Does this mean that the probability of being a v

egetarian for students at your school equals​ 0? Explain. Choose the correct answer below. A. Yes. Since no vegetarians were found during the​ survey, the probability is 0. If at a later point students who are vegetarian are​ found, this will increase the probability. B. No. In the short​ run, the proportion of a given outcome can fluctuate a lot. As more people are​ sampled, the proportion should approach the real probability. C. No. Probability is​ subjective, so if you​ (the surveyor) decide the probability should be greater than​ 0, then you can make it that way.
Mathematics
1 answer:
kap26 [50]4 years ago
7 0

Answer:

B.

Step-by-step explanation:

The sample size taken for the school is too small.

5 people not being vegetarian does not mean NO OTHER students are vegetarian also. Thus, an assumption based on this probability of 5 people would not be correct unless fully supported. This makes option A wrong.

Answer B is correct because with small numbers, probability varies a lot and may change drastically with the addition of data.

For example: the 6th person we sample says he/she is a vegetarian.

This would change the probability drastically to 1/6 = 0.1667

Because this is a drastic change, and fluctuation is clear, answer B is correct.

C is wrong because probability is not subjective.

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Klio2033 [76]

Given that cost of 1 drinks in a glass bottle = $2.00

Given that cost of 1 drinks in an aluminum can = $0.50

Given that cost of 1 drinks in a plastic bottle = $1.50

Then sum of costs  of 1 drink from each will be = 2.00+0.50+1.50


Given that you buy two of each then total cost will be given by 2(2.00+0.50+1.50)


Hence expression that represents the amount of money you will spend is 2(2.00+0.50+1.50).

Using distributive property, we can rewrite it as:

2(2.00+0.50+1.50)=2*2.00+2*0.50+2*1.50

This is final answer of part A.


----------

Given that refund on 1 drinks in a glass bottle = $0.05

Given that refund on 1 drinks in an aluminum can = $0.10

Given that refund on 1 drinks in a plastic bottle = $0.15

Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15


Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)


Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).

Using distributive property, we can rewrite it as:

2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15

This is final answer of part B.


----------

Net cost is given by difference of total cost and total refund

Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)

= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)

= 4+1+3 - (0.10+0.20+0.30)

= 8 - 0.60

= 7.40

Hence net cost is $7.40

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