The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 246.6 and a standard deviation of 68.6 . (All units are 1000 cells \( / \mu \mathrm{L} \).) Using the eml percentage below. a. What is the approximate percentage of women with platelet counts within 2 standard deviations of the mean, or between 109.4 and 383.8 ? b. What is the approximate percentage of women with platelet counts between 40.8 and 452.4 ?

Approximately 95% of women have platelet counts within 2 standard deviations from the mean in a bell-shaped distribution. This means that if the mean is 246.6 and the standard deviation is 68.6, the platelet counts of most women (about 95%) will fall between 109.4 (246.6 - 2 × 68.6) and 383.8 (246.6 + 2 × 68.6). For the range between 40.8 and 452.4, this covers a much larger span beyond the 3 standard deviations, suggesting that nearly all women (around 99.7%) are included within this range. Given that platelet counts don't typically extend beyond this, this percentage approximates the upper limits of the population mean distribution.