Question: For a continuous random variable X with an upper bound of 4, P(0 X 2.5) = 0.54 and P(2.5 X 4)

For a continuous random variable X with an upper bound of 4, P(0 ≤ X ≤ 2.5) = 0.54 and P(2.5 ≤ X ≤ 4) = 0.16. Calculate the following probabilities.

a. P(X < 0)

b. P(X > 2.5)

c. P(0 ≤ X ≤ 4)

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