Binomial distribution formula

If we know X\sim B(n,p):

P(X=x)=^nC_x\space p^x (1-p)^{n-x}

Remember that ^nC_x is a binomial combination.

flashcards

Question	Answer
What is P(X=x) in X\sim B(n,p)?	The probability of getting exactly x successes.
What does p represent in the binomial distribution formula?	The probability of any single trial being successful.
What does n represent in X\sim B(n,p)?	The number of trials.
What does x represent when calculating P(X=x)?	The exact number of successes we are checking the probability of.
How is ^nC_x interpreted in the binomial distribution formula?	It is a binomial combination.
Write the formula for P(X=x) given X\sim B(n,p).	P(X=x)=^nC_x\space p^x (1-p)^{n-x}