Estimate the probability of getting exactly 43 boys in 90 births. Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. Round to four decimal places. ..... O A. 0.1628 B. 0.0768 O C. 0.0729 O D. 0.0159

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I was able to choose the right answer simply from a guess. Please show me how to solve this and use excel if you can. 

**Question:**

Estimate the probability of getting exactly 43 boys in 90 births. Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. Round to four decimal places.

**Options:**

- A. 0.1628
- B. 0.0768
- C. 0.0729
- D. 0.0159

**Answer:**

- The correct option is B (0.0768).

**Explanation:**

This question involves using the normal distribution as an approximation for the binomial distribution to estimate the probability of a specific event. In this case, we're looking at the probability of having exactly 43 boys out of 90 births. The approximation requires the calculation of the mean and standard deviation of the binomial distribution and then using these to find the probability with the normal distribution.
Transcribed Image Text:**Question:** Estimate the probability of getting exactly 43 boys in 90 births. Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. Round to four decimal places. **Options:** - A. 0.1628 - B. 0.0768 - C. 0.0729 - D. 0.0159 **Answer:** - The correct option is B (0.0768). **Explanation:** This question involves using the normal distribution as an approximation for the binomial distribution to estimate the probability of a specific event. In this case, we're looking at the probability of having exactly 43 boys out of 90 births. The approximation requires the calculation of the mean and standard deviation of the binomial distribution and then using these to find the probability with the normal distribution.
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