CURRENT OBJECTIVE
Use the binomial distribution to compute probability

Question

The probability of buying a movie ticket with a popcorn coupon is 0.608 . If you buy 10 movie tickets, what is the probability that more than 3 of the tickets have popcorn coupons? (Round your answer to 3 decimal places if necessary.)

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Answer

Final Answer: The probability that more than 3 of the tickets have popcorn coupons is \(\boxed{0.951}\)

Steps

Step 1 ：Define the number of trials as \(n = 10\)

Step 2 ：Define the probability of success as \(p = 0.608\)

Step 3 ：Calculate the cumulative distribution function for 3 or fewer successes, which is \(prob\_3\_or\_fewer = 0.049050811560599025\)

Step 4 ：Calculate the probability of more than 3 successes, which is \(prob\_more\_than\_3 = 1 - prob\_3\_or\_fewer\)

Step 5 ：Round the probability of more than 3 successes to 3 decimal places, which is \(prob\_more\_than\_3 = 0.951\)

Step 6 ：Final Answer: The probability that more than 3 of the tickets have popcorn coupons is \(\boxed{0.951}\)