Question: A continuous random variable X has density function (i) Find the value of c. (ii) Obtain the distribution function of X. (iii) Calculate the probabilities

A continuous random variable X has density functionc(3x+1) f(x)= = 1x4. 4

(i) Find the value of c.
(ii) Obtain the distribution function of X.
(iii) Calculate the probabilities P(X ≤ 2), P(X > 2.5), P(1.5

c(3x+1) f(x)= = 1x4. 4

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