Question

at a 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?

Answer 1

wow what a weird question
it presupposes that the probability you finish with any given time is uniform (equally likely) which is obviously ridiculous
but that is ok, we can answer anyway

Answer 2

there are 50 people total, 2 finish with 11 second so
\(P(x=11)=\frac{2}{50}=0.04\)
\[P(x=12)=\frac{5}{50}=0.1\] etc