A market researcher wants to determine whether a new model of a 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 14% of all people both watched the show regularly and could correctly identify the product. Also, 15% of all people regularly watched the show and 46% of all people could correctly identify the product. Dene a pair of random variables as shown below. Complete parts (a) through (c). X = 1 if regularly watch the show X = 0 otherwise Y = 1 if product correctly identied Y = 0 otherwise a. Find the joint probability function of X and Y. X 0 1 Y o | | 1 LI (Do not round.) b. Find the conditional probability function of Y, given X = 1. P(O | 1) = D (Round to three decimal places as needed.) P(1 | 1) = D (Round to three decimal places as needed.) c. Find and interpret the covariance between X and Y. Cov(X,Y) = :I (Do not round.) Interpret the covariance. O A. The covariance indicates that there is no association between watchers of a late-night talk show and brand-name recognition. 0 B. The covariance indicates that there is a negative association between watchers of a late-night talk show and brand-name recognition. O C. The covariance indicates that there is a positive association between watchers of a late-night talk show and brand-name recognition