3.22 let x have the following probability distribution: f x x x x x x ( ) = −             = − ( ) 3! ! 3 ! 1 3 2 3 , 0, 1, 2, 3 3 a. find the cdf of x. b. find the probability that x is odd. c. find the mean of x. d. find the variance of x.

Juanita wade's new car has an msrp of $28,902.11 including title and processing fees. the premier package which includes surround sound and dvd player costs three times the amount of the in-style package which includes leather seats and select wheels. the total cost of her new car was $34,290.08 which included the 6.5% sales tax. find the cost of the premier package to the nearest cent.