It is claimed that a particular flu shot is effective in 70% of the case. If a group of 15 adults received the flu shot find the probability that exactly 10 will benefit from the flu shot

0.206

Step-by-step explanation:

Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

n = 15, r = 10, p = 0.7, and q = 0.3.

P = ₁₅C₁₀ 0.7¹⁰ 0.3⁵

P = 0.206