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Find the probability of X successes, using Table B in Appendix A of the textbook or some other method.n = 18, p = 0.8, X = 11

Find The Probability Of X Successes Using Table B In Appendix A Of The Textbook Or Some Other Methodn 18 P 08 X 11 class=

Sagot :

This kind of exercise refers to the probability of exatly "x" successes on "n" repeated trials in an experiment which has a possible outcome.

If the probability of succes on an individial trial is p, then the probability is represented by:

[tex]P=\text{nCx}\cdot p^x\cdot(1-p)^{n-x}[/tex]

Here nCx indicates the number of different combinations of x objects selected from a set of n objects.

Using the given data, we have:

[tex]\begin{gathered} P=18\text{C11}\cdot(0.8^{11})\cdot(1-0.8)^{18-11} \\ P=31824\cdot(8.589\cdot10^{-2})\cdot(1.28\cdot10^{-5})^{} \\ P=0.035 \end{gathered}[/tex]

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