In a certain town, the time, $$\(X\)$$ hours, for which people watch television in a week has a normal distribution with mean $$\(15.8\)$$ hours and standard deviation $$\(4.2\)$$ hours. $$dummy$$

5.5.1 understand the use of a normal distribution to model a continuous random variable, and use normal distribution tables (Sketches of normal curves to illustrate distributions or probabilities may be required.)

5.5.2.2 finding a relationship between $x_{1}, \mu$ and $\sigma $ given the value of $P\left(X>x_{1}\right)$ or a related probability (For calculations involving standardisation, full details of the working should be shown.) (e.g. $Z=\frac{(X-\mu)}{\sigma}$)