You may need to use the appropriate appendix table to answer this question.Suppose that the mean daily viewing time of television is $8\mathrm{.}35$ hours. Use a normal probability distribution with a standard deviation of $2\mathrm{.}5$ hours to answer the following questions about daily television viewing per household$($a$)$What is the probability that a household views television between $4$ and $12$ hours a day? $($Round your answer to four decimal places.$)($b$)$How many hours of television viewing must a household have in order to be in the top $3\%$ of all television viewing households? $($Round your answer to two decimal places.$)$ hrs$($c$)$What is the probability that a household views television more than $3$ hours a day? $($Round your answer to four decimal places.$)$