THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 226

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A random variable X is normally distributed with mean of 50 and variance of 50,and a random variable Y is normally distributed with mean of 100 and variance of 200.
-Given the random variables X and Y have a correlation coefficient equal to 0.50,find the mean and variance of the random variable W = 4X+3Y.

---

Definitions:

Cardiac Output

The product of heart rate and stroke volume, measured in liters per minute; the amount of blood that is pumped by the heart in 1 minute.

Ventricular Fibrillation

A life-threatening heart rhythm that results in a rapid, erratic heartbeat, preventing the heart from pumping blood effectively.

Electrical Impulse

A rapid surge of electrical energy that travels through neurons, facilitating nerve signaling in the body.

AV Node

The atrioventricular node, a critical component of the heart's electrical system responsible for regulating the timing of heart beats.