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

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

f(x)= -for -3x ce if 0 < x < otherwise.

(a) Calculate the value of c.

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

f(x)= -for -3x ce if 0 < x < otherwise.

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