A market researcher wants to determine whether a new model of a personal computer, which had been advertised on a late-night talk show, had achieved more brand name recognition among people who watched the show regularly than among people who did. not. After conducting a survey, it was found that 15% of all people both watched the show regularly and could correctly identify the product. Also, 16% of all people regularly watched the show and 45% of all people could correctly identify the product. Define a pair of random variables as follows: 1 X= 0 if regularly watch the show otherwise 1 if product correctly identified 0 otherwise

(a) Find the joint probability function of X and Y.

(b) Find the conditional probability function of Y, given X-1.

(c) Find and interpret the covariance between X and Y.