Question

Geometry help plesaseB. 56% 75% 84% 89%C. 68% 75% 95% 99.7%

Answer 1

Explanation

For the first part

$P\ge1-\frac{1}{k^2}$

When P=89%

P=0.89

$\begin{gathered} 0.89\ge1-\frac{1}{k^2} \\ \\ \frac{1}{k^2}\ge1-0.89 \\ \\ \frac{1}{k^2}\ge0.11 \\ \\ k^2\ge\frac{1}{0.11} \\ \\ k\ge\:3.01 \end{gathered}$

This means that 89% of the data lies within at least 3 standard deviations

This will be between

Part B

Part C

If we are to use the empirical rule

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution

Then since the standard deviation is 6.00

120mmHg and 144mmHg are within 2 standard deviations

This is within 2 standard deviations

Thus

we have the answer as 95%

Part D

68% of the measurement will be between 126mmHg and 138mmHg