SOLUTION: A study by the German Soccer Federation showed that 50% of soccer players attending soccer academies will return to the same academy for further development. Suppose nine soccer pl

Question 1040427: A study by the German Soccer Federation showed that 50% of soccer players attending soccer academies will return to the same academy for further development. Suppose nine soccer players are selected at random, what is the probability that:
(a) Exactly five soccer players will return?
(b) All nine soccer players will return?
(c) At least eight soccer players will return?
(d) At least one soccer player will return?
(e) How many soccer players would be expected to return to the same soccer academy?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
a. It is 9C5 (1/2)^5(1/2)^4; that is 126/512=0.2461
b. It is (1/2)^9 or 1/512=0.002
c. It is 9C8(1/2)^8(1/2)=9/512=0.0176
d. That is 1-probability none will return=512/512-1/512=511/512=0.998
e. The expected value is x*p(x)=9(1/2), or 4 1/2
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