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I'm pretty sure you did it right.
Is this for a quiz? It looks familiar
Answer:
Step-by-step explanation:
Success = p
failure = (1-p)
is the correct first step.
To find the probability of at least one success, P(X>0), it is much easier to first calculate the probability of P(X=0)=NO success. Then the complement of
P(X=0)'=1-P(X=0) = P(>0) = probability of at least one success.
By the multiplication rule,
P(X=0)=(1-p)^9
or the binomial distribution
P(X=0)=C(9,0)(p^0)(1-p)^9=1*1*(1-p)^9=(1-p)^9
So the probability of at least one success = 1-P(X=0)
=1-(1-p)^9
