A binomial probability experimentis conductedwith the given

A binomial probability experimentis conductedwith the given parameters. compute the proability of x successes in the n independent trials of the experiment.

n=10, p=0.4, x _4

the probability of x_4 successes is? (round to four decimal places as needed)

Solution

n=10, p=0.4

p+q=1

q=1-p

q=1-0.4

q=0.6

P(x)=ncx p^x*q^(n-x)

P(4) = 10C4 (0.4)^4 (0.6)^6

10C4 = 10x9x8x7 / 1x2x3x4 = 210

P(4) = (210) (0.4)^4 (0.6)^6 = 0.2508
P(4)= 0.2508