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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%

Respuesta :

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

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

For each i, the probability

[tex]P(x=i)=\frac{40!}{28!\cdot12!}\cdot0.8^i\cdot0.2^{40-i}[/tex]

Now computing the sum:

[tex]P(x\ge28)=96[/tex]

The answer is 96%