Answered

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Oliver Queen is able to hit the bull's-eye (center of the target) 87% of the time. If he shoots 29 arrows, what is the probability that he hits the bull
eye exactly 13 times?

Sagot :

The probability that he hits the bull's-eye in one shot is given by p = 0.87

Then, the probability that the hits the bull's-eye m times in n shots is given by:

[tex]P(m|n)=\frac{n!}{m!(n-m)!}p^m(1-p)^{n-m}[/tex]

For n = 29 and m = 13 we have:

[tex]\begin{gathered} P(13|29)=\frac{29!}{13!16!}0.87^{13}\cdot0,13^{16} \\ P(13|29)=4.0\cdot10^{-8} \end{gathered}[/tex]

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