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). Round to four decimal places.
-$$\mathrm { n } = 16 , \mathrm { x } = 3 , \mathrm { p } = \frac { 1 } { 5 }$$
A) 0.2709
B) 0.3202
C) 0.2463
D) 0.2955

Question

Quizplus · Accepted Answer

The binomial probability formula is $$P(x) = \binom{n}{x} p^x (1-p)^{n-x}$$. Plugging in the given values, we get $$P(3) = \binom{16}{3} \left(\frac{1}{5}\right)^3 \left(1-\frac{1}{5}\right)^{16-3}$$. Calculating this gives $$P(3) = 0.2463$$.

Assume That Each of the N Trials Is Independent and That