Calculate the constants a and b and then the probability (0.2<X) {see attached picture}

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I got a = 3/2 and b = 1/4 but how do I do the second part of the question?

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Guide:

Probability is the area under the graph for the corresponding pdf. For this case, the area is a trapezium.

Recall that area of a trapezium is $\frac{h}2(a+b)$