2. LINEAR FUNCTION OF A RANDOM VARIABLE If x is a random variable and a and b are numerical constants, then the random variable y is defined by and

3. Let x be the number of gallons required to fill a propane tank. Suppose that the mean and standard deviation is 318 gal. and 42 gal., respectively. The company is considering the pricing model of a service charge of $50 plus $1.80 per gallon. Let y be the random variable of the amount billed. What is the mean and standard deviation for the amount billed?  = $622.40 &  = $75.60

4. LINEAR COMBINATIONS

5. A nationwide standardized exam consists of a multiple choice section and a free response section. Each score is independent, and the mean and standard deviation are reported: meanSD MC386 FR307 If the test score is computed by adding the multiple choice and free response, then what is the mean and standard deviation of the test?  68 &  = 9.2195