Question

Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to find P(x). n=5, x=1, p=0.3P(x)=_____(Round to 4 decimal places.)

Answer 1

The binomial probability formula is given by:

$P(x)=\binom{n}{x}p^x(1-p)^{n-x}$

Substitute n = 5, x = 1, and p = 0.3 into the equation:

$\begin{gathered} P(1)=\binom{5}{1}(0.3)^1(1-0.3)^{5-1} \\ \text{ Therefore,} \\ P(1)=5(0.3)(0.7)^4=0.3602 \end{gathered}$

Therefore, the correct answer is 0.3602.

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