Question

Let X be a discrete random variable that possesses a binomial distribution. Using the binomial formula, find the following probability. P(x=2) for n=4 and p= 0.4 round your answer to four decimal places. P(x=2) =

Answer 1

X ~ Bin ( n , p)

Where n = 4 , p = 0.4

Binomial probability distribution is

P(X) = nCx p^x ( 1 - p)^n-x

P(X = 2) = ⁴C₂ * 0.4² * ( 1 - 0.4)²

= 0.3456