The probability density function of X is
`f(x)={{:(x, 0 lt x lt 1), (2-x, 1 le x lt 2), (0, "otherwise"):}`
Find
`P(1.2 le X lt 1.8)`

The probability density function of X is f(x)={{:(x, 0 lt x lt 1), (2-x, 1 le x lt 2), (0, "otherwise"):} Find P(0.2 le X lt 0.6)

The probability density function of X is f(x)={{:(x, 0 lt x lt 1), (2-x, 1 le x lt 2), (0, "otherwise"):} Find P(0.5 le X lt 1.5)

The probability density function of X is f(x) = {(x,0 ltxlt1),(2-x, 1lt=xlt2),(0,"otherwise"):} Find (i) P(0.2 lt=X lt0.6) (ii) P(1.2lt= X lt 1.8) (iii) P(0.5 lt=X lt 1.5)

If X is the random variable with probability density function f(x) is given by f(x)={{:(x+1, -1 le x lt 0), (-x+1, 0 le x lt 1), (0,"otherwise"):} then find (i) the distribution function F(x) (ii) P(-0.5 le X le 0.5)

If x is the random variable with probability mass function given by f(x)={{:(x+1,1lexlt2),(-x+1,2lexlt3),(0 , "otherwise"):} Find P(1.1 lt x lt 25)

The probability density function of X is given by f(x)={{:(ke^(-x/3), "for " x gt 0), (0, "for " x le 0):} Find P(X lt 3)

The random variable X has the probability density function f(x)={{:(ax+b, 0 lt x lt 1), (0, "otherwise"):} and E(X)=7/12 , then a and b are respectively

If X is the random variable with porbability density function f(x) given by f(x)={(x-1,1lt=xlt2),(-x+3,2lt=xlt3),(0,"otherwise"):} find (i) the distribution function F(x) (ii) P (1.5lt=X lt=2.5)

The probability density function of random variable X is given by f(x)= {(k,1lt=xlt5),(0,"otherwise"):} Find (i) Distribution function (ii) P(X lt 3) " (iii)" P(2ltX lt4) "(iv)" P(3 lt=X)