4.3.3 Quiz: Simulation and Modeling with Data Question 5 of 10 The following set of random numbers represents 20 simulations of three daily flights from Philadelphia to Seattle, with 0, 1, 2, or 3 representing a late departure and 4,5,6,7,8, or 9 representing an on-time departure. In how many of the simulations was there an on-time departure for all three flights? \[ \begin{array}{l} 506619535769096380527555737192092658694320442812968 \\ 765374282 \end{array} \] A. 5 B. 4 C. 6 D. 3
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The Deep Dive
To determine how many simulations resulted in all three flights being on time, we first break down the list of random numbers. Each group of three digits corresponds to a single simulation of the flights. Let's look at the digits and check each trio to see if they all fall within the on-time range (4-9). When you scan through the digits, you’ll find that there are 4 combinations (from the full string) where all three flights were on time, which means the correct answer is B. Now, if you’re interested in experimenting with simulations on your own, try using a simple tool like a spreadsheet to randomly generate numbers and check the ratios of on-time vs. late flights. This will not only solidify your understanding of probability but also let you play around with different scenarios, such as varying flight conditions!
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