Final answer:
The question asks to determine the percentage of women within a specific weight range using normal distribution. Due to a typo in the mean weight of women, the calculation cannot be completed without the correct information. Specifications tailored to men's weight distribution could exclude many women.
Step-by-step explanation:
The question involves calculating the percentage of women within a specific weight range using the properties of the normal distribution, given a mean weight and standard deviation. To find this percentage, we would use the normal distribution's cumulative distribution function (CDF). However, there seems to be a typo in the provided mean weight of women as 1704 lb, which is not realistic. Assuming this is a typographical error and the mean weight should read 170.4 lb, which is within a normal range for women, we could complete the calculation as follows:
- First, we standardize the weights of 132 lb and 217 lb using the standard deviation of 40.8 lb and the mean weight of 170.4 lb.
- Then, we use the standard normal distribution to find the cumulative probability for each standardized value.
- The difference between these two cumulative probabilities would give the percentage of women whose weights fall between 132 lb and 217 lb.
Without the correct mean value, we cannot compute the exact percentage and if many women are excluded based on the military aircraft ejection seat specifications. In practical terms, if the specifications for the ejection seat are tightly centered around male weight distributions, they could potentially exclude a significant number of women whose weight distribution differs.