The amount of time, X, in minutes that it takes a rat to navigate a maze has the following probability density function: f(x)=1/(x (x - 1)²(4-x) for 1 ≤ x ≤ 4 and 0 otherwise. a) What is the probability that X > 2.5? b) What is the probability that X < 2.5? c) What is the probability that 1.25 < X < 2.75?

Please help me with the following question.

Delta Airlines quotes a flight time of 2 hours, 3 minutes for a particular flight. Suppose we believe that actual flight times are uniformly distributed between 2 hours and 2 hours, 12 minutes. (a) Show the graph of the probability density function for flight time. The graph has a shaded area. The horizontal axis is labeled: x with the title: Flight Time in Minutes and has tickmarks labeled: 114, 120, 126, 132. The vertical axis is labeled: f(x), and has tickmarks labeled: 1/12, 1/6, 1/4. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1/12 unit long vertical line segment begins at 120 on the horizontal axis. A 1/12 unit long vertical line segment begins at 126 on the horizontal axis. A 6 unit long horizontal line segment begins at the tickmark labeled 120 on the horizontal axis and the tickmark labeled 1/12 on the vertical axis. This line segment connects the two vertical line segments.   The graph has a shaded area. The…