The blood platelet counts of a group of women have a bell-shaped distribution with a mean of251.9and a standard deviation of63.3.(All units are 1000cells/μL.)Using the empirical rule, find each approximate percentage below.a.What is the approximate percentage of women with platelet counts within1standarddeviationof the mean, or between188.6and315.2?b.What is the approximate percentage of women with platelet counts between62.0and441.8? a. Approximatelyenter your response here%of women in this group have platelet counts within1standarddeviationof the mean, or between188.6and315.2.(Type an integer or a decimal. Do not round.)b. Approximatelyenter your response here%of women in this group have platelet counts between62.0and441.8.(Type an integer or a decimal. Do not round.)

GivenMean(μ)=251.9standard deviation(σ)=63.3By empirical rule68% data lies in one standard deviation i.e.,(μ-1σ <x<μ+1σ)95% data lies in two standard deviation i.e., (μ+2σ<x>μ+2σ)99.7% data lies in three standard deviation i.e., (μ+3σ<x<μ+3σ)a)P(μ-σ < x < μ+σ)=65%P(251.9-63.3 < x<251.9+63.3)=65%P(188.6<x<315.2)=65%Approximately 65% of women in this group have platelet counts with in 1 standard deviation orbetween 188.6 and 315.2b)P(μ-3σ<x<μ+3σ)=99.7%P(251.9-3(63.3) < x <251.9+3(63.3)=99.7%P(62.0<x<441.8)=99.7%Approximately 99.7% of women in this group have platelet counts between62.0 and 441.8

Answered: The blood platelet counts of a group of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Question

The blood platelet counts of a group of women have a bell-shaped distribution with a mean of

251.9

and a standard deviation of

63.3.

(All units are 1000

cells/μL.)

Using the empirical rule, find each approximate percentage below.

a.	What is the approximate percentage of women with platelet counts within 1 standard deviation of the mean, or between 188.6 and 315.2?
b.	What is the approximate percentage of women with platelet counts between 62.0 and 441.8?