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/mul.)
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?