Question

find the probability of exactly three successes in eight trials of a binomial experiment in which the probability of success is 45%.
p(3)=56×0.0911×0.0503
solve for p(3). give your answer as a percent.
p(3)=?%
round to the nearest tenth of a percent.

Explanation:

Step1: Multiply the numbers

$$\begin{align*} P(3)&=56\times0.0911\times0.0503\\ &=56\times(0.0911\times0.0503)\\ &=56\times0.00458233\\ \end{align*}$$

Step2: Calculate the final result

$$\begin{align*} P(3)&=56\times0.00458233\\ & = 0.25661048\\ \end{align*}$$

Convert the decimal to a percentage: \(0.25661048\times100 = 25.661048\%\)

Round to the nearest tenth of a percent: \(25.7\%\)

Answer:

\(25.7\%\)