Question

A binomial Probability experiment is conducted with the given para meters computer probability of X successes in the n independent trials of the experimentn=40 p=0.03 x=2

Answer 1

In order to calculate this probability, we can use the formula:

$P=C(n,x)\cdot p^x\cdot(1-p)^{n-x}$

So, for n = 40, p = 0.03 and x = 2, we have:

$\begin{gathered} C(40,2)=\frac{40!}{2!(40-2)!}=\frac{40\cdot39\cdot38!}{2!\cdot38!}=\frac{40\cdot39}{2}=780 \\ \\ P=780\cdot0.03^2\cdot0.97^{38} \\ P=0.2206 \end{gathered}$

So the probability is 0.2206.