Part A and B please The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 67.8. (All units are 1000 cells/µL.) Using the empirical rule, find each approximatepercentage below.a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 180.7 and 316.3?b. What is the approximate percentage of women with platelet counts between 45.1 and 451.9?a. Approximately % of women in this group have platelet counts within 1 standard deviation of the mean, or between 180.7 and 316.3.(Type an integer or a decimal. Do not round.)

Name: Part A and B please The blood platelet counts of a group of women have
Uploaded: 2024-03-05T11:53:49.000Z
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Description: Part A and B please The blood platelet counts of a group of women have a bell-shaped distribution with a mean of 248.5 and a standard deviation of 67.8. (All units are 1000 cells/µL.) Using the empirical rule, find each approximatepercentage below.a.

Given Information: Mean μ=248.5 Standard deviation σ=67.8 (a) Empirical rule states that: About 68% of the area under the curve falls within 1 standard deviation of the mean i.e., μ-σ, μ+σ=248.5-67.8, 248.5+67.8=180.7, 316.3 Thus, approximate percentage of women with platelet counts between 1 standard deviation of the mean is 68% About 95% of the area under the curve falls within 2 standard deviations of the mean i.e., μ-2σ, μ+2σ=248.5-2×67.8, 248.5+2×67.8=112.9, 384.1(b) About 99.7% of the area under the curve falls within 3 standard deviations of the mean i.e., μ-3σ, μ+3σ=248.5-3×67.8, 248.5+3×67.8=45.1, 451.9 Thus, approximate percentage of women with platelet counts between 3 standard deviations i.e., between 45.1 and 451.9 of the mean is 99.7%