6. A random variable X has a pdf given by f(x) = { 2/3(x + 1), 0 <= x <= 1 0, elsewhere Find the cdf for X, and then use the cdf to evaluate P(X > 1/2).
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The CDF is given by the integral of the probability density function (PDF) from the lower limit to x: F(x) = ∫f(x) dx Since the PDF is given by f(x) = 3(r+1) for 0 < x < 1 and 0 elsewhere, we can find the CDF as follows: F(x) = 0, if x ≤ 0 F(x) = ∫(3(r+1) dr) Show more…
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