A scientist is trying to determine the depth of the sea at a certain location. She knows that it must be deeper than 5 km but that is all she knows. To capture this uncertainty she models the depth as uniformly distributed between 5 and 10 km. In order to measure the depth she uses sonar, taking 2 measurements, which we model as two random variables s1 and s2. If the depth is equal to x then each sonar measurement is uniformly distributed between x 0.25 and x + 0.25. The two measurements are conditionally independent given the depth.

How would you compute and sketch the pdf of the first sonar measurement s1?