According to a national survey 73 of people love math You ra

According to a national survey 73% of people love math. You randomly select 17 people, what is the probability that 10 or 11 of them love math?

Solution

p = 0.73

n = 17

P(X = 10 or 11) = P(X = 10) + P(X = 11)

= 17C10 * 0.73¹⁰ * 0.27⁷ + 17C11 * 0.73¹¹ * 0.27⁶

= 0.0874 + 0.1504

= 0.2378