In: Statistics and Probability
A binomial probability experiment is conducted with the given parameters. Use technology to find the probability of x successes in the n independent trials of the experiment. Use the Tech Help button for further assistance. n=9, p=0.2, x < 4
p = 0.2
n = 9
P(X = x) = 9Cx * 0.2x * (1 - 0.2)9-x
P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= 9C0 * 0.20 * 0.89 + 9C1 * 0.21 * 0.88 + 9C2 * 0.22 * 0.87 + 9C3 * 0.23 * 0.86
= 0.9144 (ans)