Timber beams are widely used in home construction. When the load (measured in pounds) per unit length has a constant value over part of a beam, the load is said to be uniformly distributed over that part of the beam. Consider a cantilever beam with a uniformly distributed load between 90 and 126 pounds per linear foot.

a. What is the probability that a beam load exceeds 109 pounds per linear foot?

b. What is the probability that a beam load is less than 96 pounds per linear foot?

c. Find a value L such that the probability that the beam load exceeds L is 0.3