Question

3. Assume that a procedure yields a binomial distribution with a trial that is repeated 5 times. Use the binomial probability formula to find the probability of 2 successes given that a singlesuccess has a probability of 0.712

Answer 1

$P(x)=\begin{pmatrix}n \\ x\end{pmatrix}p^x(1-p)^{n-x}$

Substitute n = 5, x =2, and p = 0.712 into formula:

$P(2)=0.712^2(1-0.712)^{5-2}\approx0.0121$

Therefore, the