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Consider the following two independent random variables,X XandY Random variableX has a mean of 21 and a standard deviation 10. Random variableYhas a mean of

Consider the following two independent random variables,X

XandY

Random variableX

has a mean of 21 and a standard deviation 10.

Random variableYhas a mean of 26 and a standard deviation 7.

Find the mean, variance, and standard deviation for the following linear combination ofX andY

4X5Y+50

Mean:(exact answer)

Variance:(exact answer)

Standard Deviation:(two decimal places)

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