Geometry Part 2
posted by Karen on .
At a track meet,50 people ran the 100 meter dash.2 people finished in 11 seconds,5 people finished in 12 seconds,8 people finished in 13 seconds,10 people finished in 14 seconds,21 people finished in 15 seconds,2 people finished in 16 seconds,and 2 people finished in 17 seconds.What is the probability distribution for the finish times.

A probability distribution includes ALL the possible events and must add up to 1. Here you have 50 people, so 50 will be the denominator for each probability ...
P(11 seconds) = 2/50 = 0.04
P(12 seconds) = 5/50 = 0.10
Do this the same for 13, 14, 15, 16 and 17 seconds.
When you are all done, the sum of the 7 probabilities should add up to 1