Suppose $x$ is a random variable best described by a uniform probability that ranges from $0$ to $5$. Compute the following:

(a) $\ $ the probability density function $f(x) =$

(b) $\ $ the mean $\mu =$

(c) $\ $ the standard deviation $\sigma =$

(d) $\ $ $P( \mu - \sigma \leq x \leq \mu + \sigma ) =$

(e) $\ $ $P( x \geq 0.93 ) =$