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Probability for child being tall enough to ride a Track

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A child must be at least 20 to ride a Track. There is a 45% chance that the ride will detect he is tall enough on any attempt. What is the probability, if you try to ride 5 times, the child will be allowed to ride at least 3 out of those times?

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The required probability is calculated in the solution.

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n = 5, x = 3, p = 1 - 0.45 = 0.55, q = 0.45

The binomial ...

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