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32 votes
32 votes
The probability the Shane will sink a foul shot is 80%. If Shane attempts 40 foul shots, what is the probability that he sinks at least 28 shots? Round your answer to the nearest whole percenta-96%b-90%c-95%d-80%

User Bleater
by
3.2k points

1 Answer

18 votes
18 votes

For this problem we have to calculate the probability that x is greater or larger than 28


\begin{gathered} P(x\ge28)=\Sigma P(x=i) \\ i\text{ goes from 28 to }40 \end{gathered}

For each i, the probability


P(x=i)=(40!)/(28!\cdot12!)\cdot0.8^i\cdot0.2^(40-i)

Now computing the sum:


P(x\ge28)=96

The answer is 96%

User Fani
by
2.9k points
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