SOLUTION: Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the pro

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Question 1186052:
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.
P(X≥9), n=10, p=0.8
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
binomial distribution formula is:

p(x) = p^x * q^(n-x) * c(n,x)

q = 1 - p

c(n,x) = n! / (x! * (n-x)!)

n = 10 and p = .8
q = 1 - .8 = .2

p(9) = .8^9 * .2^1 * 10 = .268435456.
p(10) = .8^10 * .1^0 * 1 = .107374182

the full set of probabilities are shown below.



the sum of all probabilities is equal to 1, as it should be.