Binomial experiment

Question

Consider a binomial experiment with n = 9 trials, where the probability of success on a single trial is p = 0.40.

Find the probability P(x ≥ 1). Round your answer to three decimal places.

Answer 1

P(s) = .4

9 trials = n

mean = pn = .4(9) = 3.6 = expected number of successes

P(s=1) = 9C1(.4^1)(.6^8) = 9(.4)(.6^8 = 3.6(.6^8) = about .060 = about 6.047% to get exactly 1 success

at least one succes is 100% - P(s=0) = 1 - .6^9 = about 1-.01= .990 = about 98.992%