MA3355|MA3391MA3303|Probability and Random Variable|Continuous random variable|Distribution function

The probability density function of a continuous random variable X is given by f(x) = { x if 0 less than x less than 1 and 2-x if 1 less than or equal to x less than 2 and 0 if x greater than or equal to 2 & and x less than or equal to 0 }. Find the distribution function f(x).

MA3355 | MA3391 | MA3303 | Probability and Random Variable|Continuous random variables | Distribution function

3rd Sem Maths: Random Processes and Linear Algebra(MA3355):

MA4151- Applied Probability and Statistics for Computer Science Engineers

3rd Sem Maths: Transforms and Partial Differential Equations(MA3351):

Matrices and Calculus

2nd Sem Maths: Statistics & Numerical Methods

Discrete Mathematics:

MA3391 Probability and Statistics

MA3303:Probability and Complex Functions

4th Sem Maths: Vector Calculus And Complex Functions(MA3452)

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[Abriham-dr]

Let x be a continuous random variable with probability density function is given below 
f(x)= x, for 0 less than or equal ×<1
     2-×, for 1 less than or equal x<2
       0 elsewhere
a, find the F(X)
b, P(1/2<×<3/2| 1/4<×<2)