Question

Suppose that the probability density function of X is f(x) {cx3 0 1< x < 5 otherwise where c is a constant. Find P(X < 2).

Answer 1

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Probability density function of x is :- f(a) = 5 cres, lo Icxc5 ) otherwise First let ius find the constant c. 4 We know, SFCC) dx = 1 -1 oy s o, Sexda Skeda = 1 a 19 = 1 c on c ori 4 e 44_1 4 255 Now, PCXK2) = f f(x) dx 2 4 255 x3 da x² da 4 255 1 4 2 a - 4 255 -1 4 - 15 255 255 [2"-] 1 Therefore, P(X<2) = 1 (Answer)