At a track and field tournament, Fred's long jumps vary evenly from 6.5 to 7.2 meters. Let X be the length of Fred's long jumps.
a) Name the distribution and parameter(s) of X.
b) Write out the cumulative distribution function for X.
c) Find the probability that a jump is between 6.8 and 7 meters.
d) Find the probability that X is more than 7.1 meters
e) Fred is very happy when his jumps are more than 7 meters. In this tournament, he will attempt
6 long jumps. What is the probability that he is happy with half of his jumps?
f) What is the length of Fred's average jump?
g) What length cuts off the highest 20% of Fred's long jumps?