Question

Identify the parameter p in the following binomial distribution scenario. The probability of buying a movie ticket with a popcorn coupon is 0.787, and the probability of buying a movie ticket without a popcorn coupon is 0.213. If you buy 20 movie tickets, we want to know the probability that more than 13 of the tickets have popcorn coupons. (Consider tickets with popcorn coupons as successes in the binomial distribution.)

Answer 1

p= 0.787

q= 1-p = 1-0.787= 0.213

n= 20

P(x>13) = P(X=14) + P(X=15) +P(X=16) +P(X=17) +P(X=18) +P(X=19) +P(X=20)

Formula for bionomial

P(x>13) = 0.1266+0.1871+0.216+0.1878+0.1156+0.045+0.0083 = 0.8864