During the 20132014 regular season Brian Roberts of the Char

During the 2013-2014 regular season, Brian Roberts of the Charlotte Hornets had a free-throw shooting percentage was 0.940.

a.What is the probability that the first free throw he manages to hit is on his fourth attempt?

b.On average, how many free throws will Roberts have to take before he makes one?

(a) It follows Geometric distribution with p=0.94

So the probability is

(1-0.94)^3*0.94 =0.00020304

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(b) 1/0.94= 1.06383