1 The pdf of a random variable X is given by f(x)= ⎩
⎨
⎧
​
a,
2a,
0,
​
0 1≤x<2
otherwise ​
1. Find the value of a ? 2. What is the cdf for this RV? 3. What is the expected value of X ? 4. What is the variance of X ? 5. What is the expected value of X given X<1.5 ?