Final answer:
The distribution of X is uniform between 25 and 45 minutes with a probability density function of 1/20.
Step-by-step explanation:
The distribution of X given in the question is a uniform distribution between 25 and 45 minutes. The probability density function for this distribution, f(x), is given by 1/20 for 25 ≤ x ≤ 45. The distribution is denoted as X ~ U(25, 45).