During the last long jump practice at school, Quinn's long jumps varied evenly from 6.1 to 8.7 meters. Let J bethe length of Quinn's long jumps.

a) Name the distribution and parameter(s) of J.

b) Write out the cumulative distribution function (CDF) for J.

c) What is the probability that he jumps exactly 7 meters?

d) Find the probability that he jumps between 6.8 and 7.2 meters.

e) Calculate the probability he jumps more than 8 meters.

f) What length cuts off the highest 30% of Quinn's long jumps?

g) What is the mean and standard deviation of Quinn's jumps?

h) To qualify for the school's varsity team, Quinn must jump at least 7 meters. Given that he jumped andqualified for the team, what is the probability he jumped more than 7.9 meters?

i) Quinn is excited when his jumps are more than 7.5 meters. At this practice, he will attempt 8 long jumps. Calculate the probability that he is excited with exactly half of his jumps.