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Find the probability of X successes, using Table B in Appendix A of the textbook or some other method.n = 10, p = 0.3, X = 7

Find The Probability Of X Successes Using Table B In Appendix A Of The Textbook Or Some Other Methodn 10 P 03 X 7 class=

Answer :

SOLUTION

The probability is a binomial probability

The probability is given as

[tex]\text{nCxp}^xq^{n-x}[/tex]

Where p= proability of succes=0.3

q=probability of failure=1-p=1-0.3=0.7

n=10, x=7

Then, substitute the parameters into the formula

[tex]10C_7(0.3)^7(0.7)^3[/tex][tex]\begin{gathered} 10C_7=120 \\ 120\times2.187\times10^{-4}\times0.343 \end{gathered}[/tex]

Then we have

[tex]\begin{gathered} 9.0017\times10^{-3} \\ 0.0090017 \end{gathered}[/tex]

The probability of x-success is 0.009

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