[9](15) An advertising executive is studying television viewing habits of married men and women during prime-time hours. Based on past viewing records, the executive has determined that during prime-time, husbands are watching television 60% of the time. When the husband is watching television, 40%% of the time the wife is also watching. When the husband is not watching television, 30%% of the time the wife is watching television. al Construct a contingency table utilizing the above information. Wife Yes No Total Yes Husband No Total 1.00 Table 1: Watching TV? bj Are the event that the husband is watching and the event that the wife is watching during prime- time hours mutually exclusive? c) Are the event that the husband is watching and the event that the wife is watching during prime- time hours independent? d) What is the probability that both the husband and wife are watching during prime-time hours? el Find the probability that if the wife is watching television, the husband is also watching television