Chapter 15, Problem 27E

To determine

To Explain: increased blood pressure and increased cholesterol are based on the details presented.

Explanation of Solution

Given:

  

Calculation:

Assume that A denoting the high or increased blood pressure and B is denoting the high or increased cholesterol. Therefore, A and B are independent if

  $P\left(AandB\right)=P\left(A\right).P\left(B\right)$

  $\begin{array}{l}P\left(AandB\right)=P\left(A\right).P\left(B\right)\\ P\left(A\right)=0.11+0.16=0.27\\ P\left(B\right)=0.11+0.21=0.32\\ P\left(AandB\right)=0.11\\ P\left(A\right).P\left(B\right)=0.27\times 0.32=0.0864\end{array}$

Therefore $P\left(AandB\right)\ne P\left(A\right).P\left(B\right)$

A and B are dependent, it means High blood pressure and High Cholesterol are not independent.