Given Independent Random Variables with Means and Standard Deviations as Shown,find

question 85

Multiple Choice

Given independent random variables with means and standard deviations as shown,find the mean and standard deviation of the variable 2X.

• A)μ = 80,σ = 5
• B)μ = 42,σ = 5
• C)μ = 42,σ = 10
• D)μ = 80,σ = 10
• E)μ = 80,σ = 20

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Definitions:

Covariance

A measure indicating the extent to which two variables change together, signifying the direction of their linear relationship.

Standard Deviation

A statistic that quantifies the amount of variation or dispersion of a set of data values, typically used to measure how spread out the numbers in a data set are.

Slope

A measure of the steepness, incline, or grade of a line, indicating the ratio of the vertical change to the horizontal change between two points on the line.

90th Percentile

A value below which 90% of the data points in a dataset fall.