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A group of investigators took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new bom child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child bom will be a girl?
  • a)
    243/250
  • b)
    250/257
  • c)
    9/10
  • d)
    243/493
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A group of investigators took a fair sample of 1972 children from the ...
972/1972 = 243/ 493.
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Most Upvoted Answer
A group of investigators took a fair sample of 1972 children from the ...
Given data:
- Sample size (n) = 1972
- Number of boys (B) = 1000
- Number of girls (G) = 972

We are asked to find the probability of a new child born being a girl, based on the ratio of the sample of the population.

Approach:
- Calculate the ratio of girls to boys in the sample
- Use this ratio to estimate the probability of a new child born being a girl

Calculation:
- Ratio of girls to boys = G/B = 972/1000 = 0.972
- Probability of a new child born being a girl = Ratio of girls to total children born = G/n
= 972/1972
= 0.492

Answer:
The expectation in terms of the probability that a new child born will be a girl is 0.492, which is approximately equal to 243/493. Therefore, the correct option is D.
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A group of investigators took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new bom child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child bom will be a girl?a)243/250b)250/257c)9/10d)243/493Correct answer is option 'D'. Can you explain this answer?
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A group of investigators took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new bom child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child bom will be a girl?a)243/250b)250/257c)9/10d)243/493Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A group of investigators took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new bom child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child bom will be a girl?a)243/250b)250/257c)9/10d)243/493Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A group of investigators took a fair sample of 1972 children from the general population and found that there are 1000 boys and 972 girls. If the investigators claim that their research is so accurate that the sex of a new bom child can be predicted based on the ratio of the sample of the population, then what is the expectation in terms of the probability that a new child bom will be a girl?a)243/250b)250/257c)9/10d)243/493Correct answer is option 'D'. Can you explain this answer?.
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