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The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 253.3 and a standard deviation of 64.9. ​(all units are 1000 ​cells/mu​l.)

a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the​ mean, or between 58.6 and 448.0​?
b. What is the approximate percentage of women with platelet counts between 123.5 and 383.1​?