With a new flu vaccination 85 of the people in the high risk

With a new flu vaccination, 85% of the people in the high risk group can go through the entire winter without getting the flu. In a group of six people who were vaccinated with this drug, what is the probability that at least four will not get the flu?

Include the formula that you used in Excel and the values that you entered to find your answer

example Answer: 0.2424    =BINOM.DIST(6, 10, 0.64, FALSE)

Solution

p=0.85, q=0.15, n=6

6C4p⁴q²+6C5p⁵q+6C6p⁶q⁰

15(0.85)⁴(0.15)²+6(0.85)⁵(0.15)+(0.85)⁶=0.176+0.399+0.377=0.952