Probability with binomial distribution

Question

A basketball player has a 0.603 probability of making a free throw. If the player shoots 28 free throws, what is the probability that she makes no more than 20 of them? Round to 3 decimal places if necessary.

Answer 1

Using the binomial distribution for probability of making x shots: P(x) = _nC_x p^x(1-p)^n-x

You can use technology to obtain the cumulative binomial distribution which yields the value of P(x≤20) for n, p

Or, you can calculate the P(x≤20) as 1-(P(21)+P(22)+...P(28)) which requires 8 calculations of the binomial distribution for x ={21,...,28}