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the probability of buying a movie ticket with a popcorn coupon is 0.597 and without a popcorn coupon is 0.403. if you buy 18 movie tickets, we want to know the probability that no more than 13 of the tickets have popcorn coupons

User Travis Collins
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1 Answer

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17 votes

Final answer:

To find the probability that no more than 13 of the 18 movie tickets have popcorn coupons, we can use the binomial distribution formula.

Step-by-step explanation:

The probability of buying a movie ticket with a popcorn coupon is 0.597, and without a popcorn coupon is 0.403. We want to find the probability that no more than 13 of the 18 tickets have popcorn coupons.

To solve this problem, we can use the binomial distribution formula:

P(X ≤ k) = ∑(nCk * p^k * (1-p)^(n-k)) for k = 0 to k = 13

Calculating the probabilities for each k value and summing them up will give us the final probability.