Chebyshev’s Theorem Based on Data Set 1, blood platelet counts of women have a bell-shaped distribution with a mean of 280 and a standard deviation of 65. (All units are 1000 cells/μL.) Using Chebyshev’s theorem, what do we know about the percentage of women with platelet counts that are within 2 standard deviations of the mean? What are the minimum and maximum platelet counts that are within 2 standard deviations of the mean?

Answer:

Step 1 of 1</p>

Given, blood platelet counts of women have a bell-shaped distribution with a mean of 280 cells/μL and a standard deviation of 65 cells/μL.

By using the empirical rule,

The percentage of women with platelet counts that are within 2 standard deviations of the mean

(1-(1/)2)% = (1-(1/2)2)%

= 75%

At least 75% of the data is within 2 standard deviation of the mean.

The minimum and maximum platelet counts...