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nekit [7.7K]
3 years ago
8

Which is an equation of a direct proportion?

Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0

Answer:

Step-by-step explanation:

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Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw
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Answer:

(1) The correct option is (A).

(2) The probability that Aadi will get Tails is \frac{2}{5}.

Step-by-step explanation:

It is provided that:

  • Eric throws a biased coin 10 times. He gets 3 tails.
  • Sue throw the same coin 50 times. She gets 20 tails.

The probability of tail in both cases is:

  • P(\text{Tail})=\frac{3}{10}
  • P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

(1)

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

In this case we need to compute the proportion of tails.

Then according to the Central limit theorem, Sue's estimate is best because she throws it <em>n = </em>50 > 30 times.

Thus, the correct option is (A).

(2)

As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:

P(\text{Tail})=\frac{20}{50}=\frac{2}{5}

Thus, the probability that Aadi will get Tails is \frac{2}{5}.

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