Determine the probability density function for the following cumulative distribution function. F(x) = 0 0.25x +0.5 0.5x +0.25 1 x < -2 -2 ≤ x < 1 1
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- Let the random variable X be the portion of a flood insurance claim for flooding damage to a house. The probability density of X has the form f(x)= c(3x2 - 8x - 5) for 0 < x < 1. What is the value of the constant c? What is the cumulative distribution function of X?Let X have the following probability density function A) find P(X < 1.1). B) find the 25th percentile and the 75th percentile of X. C) find the cumulative distribution function (cdf) F of XLet the probability density function of the random variable x bef(x) = { e^2x if x≤0 { 1/x^2 if x≥2 { 0 otherwiseFind the cumulative distribution function (cdf) of X