The probability density of a random variable X is given in the figure below. From this density, the probability that X > 1.18 or X < 0.12 is:

0.47

Step-by-step explanation:

First, find P(X > 1.18).

(2 − 0) / 1 = (2 − 1.18) / x

2x = 0.82

x = 0.41

Next, find P(X < 0.12).

(2 − 0) / 1 = (0.12 − 0) / x

2x = 0.12

x = 0.06

So the total probability is 0.41 + 0.06 = 0.47.

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