Question

Given that 51.3% of all newly born children are boys;then what is the probability that in a sample of 5 newly born children;exactly 3 are boys

Answer 1

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Answer on Question #82015 — Math — Statistics and Probability

Question

Given that $51.3\%$ of all newly born children are boys; then what is the probability that in a sample of 5 newly born children; exactly 3 are boys.

Solution

$$P = C(3, 5) * 0.513^3 * (1 - 0.513)^2 = \frac{5!}{3!(5-3)!} 0.513^3 \cdot 0.487^2 = 10 * 0.135 * 0.237 = 0.32$$

Answer: $p = 0.32$.