eek 4: Evaluating Probability with the Binomial Distribution Sunday by $11: 59 \mathrm{pm} \quad$ Points 10 Submitting an external tool Consider how the following scenario could be modeled with a binomial distribution, and answer the question that follows. $54.4 \%$ of tickets sold to a movie are sold with a popcorn coupon, and $45.6 \%$ are not. You want to calculate the probability of selling exactly 6 tickets with popcorn coupons out of 10 total tickets (or 6 successes in 10 trials). What value should you use for the parameter $p$ ? Provide your answer below:

Step 1 ：In this scenario, we are given a binomial distribution where the probability of success (selling a ticket with a popcorn coupon) is \(54.4\%\) and the number of trials (total tickets sold) is 10. We are asked to find the value of the parameter \(p\) which represents the probability of success.

Step 2 ：In a binomial distribution, the parameter \(p\) represents the probability of success on a single trial. In this case, the success is defined as selling a ticket with a popcorn coupon.

Step 3 ：Given that \(54.4\%\) of tickets sold to a movie are sold with a popcorn coupon, we can conclude that the probability of success \(p\) is \(54.4\%\) or \(0.544\) when expressed as a decimal.

Step 4 ：Final Answer: The value that should be used for the parameter \(p\) is \(\boxed{0.544}\).