A market researcher wants to determine whether a new model ofa personal computer that 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, 19% of all people regularly watched the show and 42% of all people could correctly identify the product. Define a pair of random variables as shown below. Complete parts (a) through (c). X = 'I if regularly watch the show X = 0 otherwise Y = 1 if product correctly identified Y = 0 otherwise lil a. Find the joint probability function of X and Y. X 0 1 Y 0 1 (Do not round.) b. Find the conditional probability function of Y, given X: 1. P(0 | 1) = (Round to three decimal places as needed.) P(1 | 1) = (Round to three decimal places as needed.) c. Find and interpret the covariance between X and Y. Cov(X,Y) = (Do not round.) interpret the covariance. L] A. The covariance indicates that there is a negative association between watchers of a late-night talk show and brand-name recognition. U B. The covariance indicates that there is a positive association between watchers of a late-night talk show and brand-name recognition. (:1 C. The covariance indicates that there is no association between watchers ofa late-night talk show and brand-name recognition