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.

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Definitions:

Fracture

A break or crack in a rock; subdivided into joints and faults.

Rock Layers

Strata or sequences of rock sediment that have accumulated over time, each layer representing a specific era in geologic history.

Youngest Unit

The most recently formed or deposited geological layer or structure in a sequence.

Logrolling

A political term denoting the practice of exchanging favors, especially in legislative contexts, but can also refer to reciprocal arrangements in other areas.