Using the accompanying table of data, blood platelet counts of women have a bell

Question

Using the accompanying table of data, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.5 (All units are 1000 cells/muL.) Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within 3 standard deviationsdeviations of the mean?

What are the minimum and maximum possible platelet counts that are within 3 standard deviationsdeviations of the mean?

Using Chebyshev's theorem, what is known about the percentage of women with platelet counts that are within

3 standard deviations of the mean?

At least ? of women have platelet counts within 3 standard deviations of the mean. (Round to the nearest integer as needed.)

The minimum posssible platelet count within 3 standard deviations of the mean is ? . The maximum possible platelet count within 3 standard deviations of the mean is ?   

Explanation / Answer

HEre by Chebyshev's theorem

Pr( l X - l > k ) < 1/k2

so here we can say that the percentage of women with platelet counts that are within 3 standard deviationsdeviations of the mean = 1 - 1/k2 = 1 - 1/9 = 8/9

so 88.89% of women with platelet counts that are within 3 standard deviationsdeviations of the mean

What are the minimum and maximum possible platelet counts that are within 3 standard deviationsdeviations of the mean.

As the bell curve is there so,

Minimu possible platelet = - 3 = 255.1 - 3 * 65.5 = 58.6 cells/muL

Maxium possible platelt =   + 3 = 255.1 + 3 * 65.5 = 451.6 cells/muL

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.