Let X be a continuous random variable with pdf f(x) = 2x, 0 < x < 1 A) Find the mean of X B) Find the probability that P(X < 0.7) C) Find the variance of X D) find the median of X
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The expected value of X (mean) is given by E(X) = ∫x*f(x) dx from 0 to 1. E(X) = ∫x*2x dx from 0 to 1 E(X) = ∫2x^2 dx from 0 to 1 E(X) = [2*(1/3)x^3] from 0 to 1 E(X) = 2/3 Therefore, the mean of X is **$\frac{2}{3}$**. Show more…
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