Question

During a single day at radio station WMZH, the probability that a particular song is played is 0.6. What is the probability that this song will be played on at least 3 days out of 4 days? Round your answer to the nearest thousandth.

Answer 1

This is Binomial with n = 4 and p = 0.6.
P(at least 3) = P(3) + P(4) = C(4,3)(0.6)^3(0.4) + (0.6)^4
= 4(0.6^3)(0.4) + 0.6^4 = 0.3456 + 0.1296 = 0.4752 ≈ 0.475.