SOLUTION: I don't understand the formulas to answer this question. Can you help? Consider a binomial experiment with n = 7 trials where the probability of success on a single trial is

Question 1183264: I don't understand the formulas to answer this question. Can you help?

Consider a binomial experiment with n = 7 trials where the probability of success on a single trial is p = 0.10. (For each answer, enter a number. Round your answers to three decimal places.)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the binomial formula is:
p(x) = p^x * q^(n-x) * c(n,x)
p is the probabillity of success.
q is the probability of failure = 1 - p.
n is the number of trials
x is the number of successes.
(n-x) is the number of failures.
c(n,x) is the number of possible combinations of sets of x eleents taken from a set of n elements.
the formula for c(n,x) is n! / (x! * (n-x)!)
for example:
c(7,3) = 7! / (3! * 4!) = (7*6*5*4*3*2*1) / ((3*2*1)*(4*3*2*1)) = (7*6*5) / (3*2*1) = (7*5) = 35.

the following spreadsheet shows all the calculations for x from 0 to 7.

the sum of all probabilities must be equal to 1.
otherwise, you did something wrong.

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