Question

he probability that Alanna's train will be late is (1)/(10) If Alanna takes he train 30 times what is the expected number of times her train will be late?

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DouglasMaster · Tutor for 5 years

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<p> In probability, the expected value of a random variable shows a long-term scenario or a trend. Simply, it predicts the most likely outcome over many trials. Here, our random variable is whether Alanna's train is late or not for each ride. With a \( \frac{1}{10} \) late-probability each ride, we would expect this proportion to hold over many trials. That is, \( \frac{1}{10} \) of all train rides would be expected to be late. To find out how many out of 30 trips, we just multiply \( \frac{1}{10} \) times 30.</p>

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