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)=(40!)/(2!(40-2)!)=(40\cdot39\cdot38!)/(2!\cdot38!)=(40\cdot39)/(2)=780 \\ \\ P=780\cdot0.03^2\cdot0.97^(38) \\ P=0.2206 \end{gathered}`

So the probability is 0.2206.