Lemma
EasyContinuous distributions
OpenStax, Introductory Statistics 2e §5.2 The Uniform Distribution · Try It 4 · Probability · Continuous distributions

The Uniform Distribution · Try It 4

Suppose the time it takes a student to finish a quiz is uniformly distributed between six and 15 minutes, inclusive. Let X = the time, in minutes, it takes a student to finish a quiz. Then X ~ U (6, 15).
Find the probability that a randomly selected student needs at least eight minutes to complete the quiz. Then find the probability that a different student needs at least eight minutes to finish the quiz given that she has already taken more than seven minutes.

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OpenStax, Introductory Statistics 2e · §5.2 The Uniform Distribution · Try It 4

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