Question 284583
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You need to calculate the probability of 8 successful events out of 10 trials where the probability of success on any given event is 0.90.


The probability of *[tex \Large k] successful events out of *[tex \Large n] trials where the probability of success on any given event is *[tex \Large p] is given by:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ P_n(k)\ =\ \left(n\cr k\right\)p^k\left(1\,-\,p\right)^{n\,-\,k}]


where *[tex \Large \left(n\cr k\right)] is the number of ways to choose *[tex \Large k] things from a collection of *[tex \Large n] things given by *[tex \Large \frac{n!}{k!(n-k)!}]


Just plug in the given numbers and start wailing on your calculator.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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