The random variable x is known to be uniformly distributed between 1.0 and 1.5. a. Show the graph of the probability density function. We calculate the probability density function or f(x) using the following formula where a = 1.0 and b = 1.5: () = 1 = 1 1.5 1.0 = 2 b. Compute ( = 1.25). We use the area formula of height multiplied by width. For a continuous probability density function, we know that the probability of any single point is 0 because the width of a single point will always be 0. ( = 1.25) = (1.25 1.25) = (2)(0) = 0 Therefore, the probability x equals 1.25 is 0