Statistics question

Question

it has been reported that 58% of adults age 65 and over got the flu shots last year. in a random sample of 12 adults age 65 and over, find the probability that between six and nine received a flu shot

Answer 1

Find the probability using the binominal formula:

Probability x successes in n tries when probability of success is p:

n!

--- (p)^x (1-p)^(n-x)

x! (n-x!)

here p = 0.58, n = 12.

x will equal 6 for first problem

x will equal 9 for second problem

plug values into formula to get the answer.