solve the problems

Use the following contingency table to answer questions 17, 18, and 19. X Y X-Xbar Y-Ybar (X-Xbar) 2 (Y-Ybar) 2 (X-Xbar)*(Y-Ybar) 3 8 13 15 11 22 22 24 32 Su m The option to buy extended warranties is commonplace with most electronics purchases. But does the type of purchase affect a consumer's willingness to pay extra for an extended warranty? Data for 480 consumers who purchased digital cameras and laptop computers from a leading electronics retailer are summarized in the table. Calculate the following and show the formulas used and your work. Warranty No Warranty Total Xbar: Digital Camera 50 80 130 Laptop Computer 150 200 350 Total 200 280 480 Ybar: 17. What is the probability that a consumer does not purchase an extended warranty? Show your work. (6pts) Variance of X: Variance of Y: 18. What is the probability that a consumer purchases a digital camera and an extended warranty? Show your work. (6pts) Standard Deviation of X: Standard Deviation of Y: 19. What is the probability that a consumer purchases an extended warranty given that he/she has purchased a digital camera? Show your work. (6pts) Covariance between X and Y: Correlation Coefficient between X and Y: 20. Using the table below, calculate the variance of X, variance of Y, standard deviation of X, standard deviation of Y, the covariance between X and Y, the correlation coefficient The Slope of the Regression Line: between X and Y, and find the regression line assuming X is the independent variable (find the slope and the intercept). Show your work. (50pts) The Y Intercept of the Regression Line: Fill in the Blanks: 13