Most mental health experts, including Dr. Phil, would be alarmed to hear you've just mounted a TV in your bathtub. In its purest form, water is a poor conductor of electricity. It's when you factor in the salts, metals and other impurities found in most drinking water, that its conductive properties become more worrisome. Let's say this homeowner grew tired of Dr. Phil's ranting and changed the channel with a wet hand. The electricity in the TV could easily jump right through the water on his fingertips, and into his body.
Keep all electrical appliances, TVs, radios, et al, away from your tub, or any other place water is often present.