Question

a coin is weighted so that there is a 55.4% chance of it landing in heads when flipped. the country is flipped 13 times. find the probability that at most 8 of the flips resulted in heads
round answer 4 decimal places

Answer 1

P(heads) = 0.554

n =13

P(at most 8 heads) = P(0) + P(1) + P(2) +P(3) +P(4) +P(5) +P(6) +P(7) +P(8)

P(at most 8 heads) = 1- [P(9) + P(10) + P(11) +P(12) +P(13)]

P(at most 8 heads) = 1- [P(9) + P(10) + P(11) +P(12) +P(13)] = 1- 0.2369 = 0.7631

ANS : P(at most 8 heads) = 0.7631