Question

kevin works at a trampoline park. he collects a random sample of the tickets sold on weekdays and on weekends. the results of his sample are shown in the table. suppose 400 tickets are sold on weekends. which is the best estimate of the number of those tickets that are day passes? 150 day pass tickets 180 day pass tickets 220 day pass tickets 250 day pass tickets

Explanation:

Step1: Calculate the proportion of day - pass tickets on weekends in the sample

The total number of tickets in the weekend sample is \(15 + 25=40\). The number of day - pass tickets in the weekend sample is \(25\). So the proportion \(p=\frac{25}{40}=\frac{5}{8}\).

Step2: Estimate the number of day - pass tickets when 400 tickets are sold on weekends

If the total number of tickets \(N = 400\), and using the proportion from the sample. The estimated number of day - pass tickets \(n\) is \(n = N\times p\). Substitute \(N = 400\) and \(p=\frac{5}{8}\) into the formula: \(n=400\times\frac{5}{8}\).

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Answer:

250 day pass tickets