The probability density function associated with a so-called uniform distribution is given by f(x) = 1/(b − a), where a and b are given constants and a ≤ x ≤ b.

That is, the possible values you might observe range between the constants a and b with every value between a and b equally likely. If for example a = 0 and b = 1, the possible values you might observe lie between 0 and 1.

For a uniform distribution over the interval a = 1 and b = 4, draw the probability density function and determine the median, the 0.1, and the 0.9 quantiles.