Question 18 A binomial probability experiment is conducted w

Question 18

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment

N=13, p=0.4, x?4

The probability of x?4 successes is ? (Round to four decimal places as needed)

Solution

n=13, 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) = 13C4 (0.4)^4 (0.6)^9

10C4 = 13x12x11x10 / 1x2x3x4 = 715

P(4) = (715) (0.4)^4 (0.6)^9 = 0.184
P(4)= 0.184