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:

Z Statistic

A type of standard score that indicates how many standard deviations an element is from the mean of the population.

Relative Risk

A measure in epidemiology that compares the risk of a health event among one group with the risk among another group.

Sample Proportion

A statistical measure that represents the proportion of success or a particular attribute in a sample.

Confidence Interval

A range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter, giving an estimate of the uncertainty around the main measurement.