Continuous Random Variables and their Probability Distributions. See attached file for full problem description.
Continuous Random Variables and their Probability Distributions
If a point is randomly located in an interval (a,b) and if Y denotes the
location of the point, then Y is assumed to have a uniform distribution
over (a,b). A plant efficiency expert randomly selects a location along
a 500 foot assembly line from which to observe the work habits of the
workers on the line. What is the probability that the point she
a) is within 25 feet of the end of the line
b) is within 25 feet of the beginning of the line
c) is closer to the beginning of the line than to the end of the line.