Question 1 In considering medical insurance for a certain operation, let X equal the amount (in dollars) paid for the doctor and let Y equal the amount paid to the hospital. In the past, the variances have been Var(X) = 8,000, Var(Y) = 10,000, and Var(X + Y) = 20,000. Due to increased expenses, it was decided to increase the doctor's fee by $500 and increase the hospital charge Y by 10%. Calculate the variance of X + 500+ (1.1)Y, the new total claim. (Hint: Note it is not mentioned if X and Y are independent or not).

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter7: Applying Fractions
Section7.2: Proportions
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Question 1
In considering medical insurance for a certain operation, let X equal the amount (in dollars) paid
for the doctor and let Y equal the amount paid to the hospital. In the past, the variances have
been Var(X) = 8,000, Var(Y) = 10,000, and Var(X + Y) = 20,000. Due to increased expenses,
it was decided to increase the doctor's fee by $500 and increase the hospital charge Y by 10%.
Calculate the variance of X + 500+ (1.1)Y, the new total claim. (Hint: Note it is not mentioned
if X and Y are independent or not).
Transcribed Image Text:Question 1 In considering medical insurance for a certain operation, let X equal the amount (in dollars) paid for the doctor and let Y equal the amount paid to the hospital. In the past, the variances have been Var(X) = 8,000, Var(Y) = 10,000, and Var(X + Y) = 20,000. Due to increased expenses, it was decided to increase the doctor's fee by $500 and increase the hospital charge Y by 10%. Calculate the variance of X + 500+ (1.1)Y, the new total claim. (Hint: Note it is not mentioned if X and Y are independent or not).
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