Question

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

Answer 1

The probability is a binomial probability

The probability is given as

`\text{nCxp}^xq^(n-x)`

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

`10C_7(0.3)^7(0.7)^3`
`\begin{gathered} 10C_7=120 \\ 120*2.187*10^(-4)*0.343 \end{gathered}`

Then we have

`\begin{gathered} 9.0017*10^(-3) \\ 0.0090017 \end{gathered}`

The probability of x-success is 0.009