At a track meet 50 people ran the 100meter dash 2 people fin

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?

Solution

A probability distribution includes ALL the possible events and must add up to 1. Now we have 50 people so 50 will be the denominator for each probability. For example:- P(11 seconds) = 2/50 = 1/25 So the table will be formed as:-

t                    11           12             13           14           15            16           17

P(X=t)           1/25      1/10          4/25         1/5         21/50        1/25         1/25