Question

The error involved in making a certain measurement is a continuous random variable X with the following pdf.. f(x) = 0.09375(4 − x^2) when −2 ≤ x ≤ 2. 0 otherwise. . . Compute . P(X < −0.7 or X > 0.7).

Answer 1

P(-0.7 < X < 0.7) = INTEGRAL FROM -0.7 TO +0.7 OF 0.09375(4 - x^2) dx.
                           = =0.50356
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