# Suppose that X is a continuous random variable whose probability density function is given by: #f(x)= k(2x - x^2) for 0 < x < 2#; 0 for all other x. What is the value of k, P(X>1), E(X) and Var(X)?

##### 1 Answer

Nov 13, 2016

#### Explanation:

**To find #k#** , we use

**To calculate #P(x>1)#** , we use

**To calculate #E(X)#**

**To calculate #V(X)#**