amount and Y represents the expense amount. The variance of the total cost is 100, the standard deviation of X is three times the standard deviation of Y and the correlation coefficient of X and Y is 0.8. Calculate the covariance of X and Y. a 3.60 b 9.84 c 16.2 d 19.4 e 24.0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
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The total cost to the insurer for an insurance claim is P = X + Y + 50, where X represents the claim
amount and Y represents the expense amount. The variance of the total cost is 100, the standard deviation
of X is three times the standard deviation of Y and the correlation coefficient of X and Y is 0.8. Calculate
the covariance of X and Y. a 3.60 b 9.84 c 16.2 d 19.4 e 24.0
Transcribed Image Text:The total cost to the insurer for an insurance claim is P = X + Y + 50, where X represents the claim amount and Y represents the expense amount. The variance of the total cost is 100, the standard deviation of X is three times the standard deviation of Y and the correlation coefficient of X and Y is 0.8. Calculate the covariance of X and Y. a 3.60 b 9.84 c 16.2 d 19.4 e 24.0
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