The score of a student on a certain exam is represented by a
number between 0 and 1. Suppose that the student passes the
exam if this number is at least 0.55. Suppose we model this
experiment by a continuous random variable X, the score,
whose probability density function is given by
() = ൜
4, 0 ≤ ≤ 0.5
4 − 4, 0.5 ≤ ≤ 1
Determine the probability that the student fails the exam.
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