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In: Statistics and Probability

In this activity, you will determine the probability of obtaining one of these disproportionate ratios if...

In this activity, you will determine the probability of obtaining one of these disproportionate ratios if we assume that nature alone is responsible for these obscure results. In order to determine these probabilities, you will use the Normal approximation to the binomial.

1. Outline the binomial model for the number of boy births in the next 1000 births assuming that births are produced according to the natural ratio of 51.2% chance of a boy.

2. Outline the Normal approximation to the binomial by determining if this binomial distribution satisfies the conditions for the Normal approximation. Furthermore, determine the mean and standard deviation.

3. Next, determine the probability of getting an obscure ratio or worse. That is:

(a) What is the probability of having 33% boys or less? (in 1000 births, 330 would be male)

(b) What is the probability of having 41% boys or less? (in 1000 births, 410 would be male)

(c) What is the probability of having 1200 boys for every 1000 girls or 54.5% boys? (in 1000 births, 545 would be male)

4. Interpret these results in the context of the problem.

5. Comment on the moral and ethical implications of these results.

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Expert Solution

orchestra answered 1 year ago
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