Question: 1. When a certain car breaks down, the time that it takes to fix it (in hours) is a random variable with the density function

1. When a certain car breaks down, the time that it takes to fix it (in hours) is a random variable with the density function f (x) = B ce−3x if 0 ≤ x < ∞ 0 otherwise.

(a) Calculate the value of

(b) Find the probability that when this car breaks down, it takes at most 30 minutes to fix it.

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