Question

Let 𝑋1,𝑋2, … , 𝑋5 be 𝑖. 𝑖. 𝑑. random variables, each having the 𝐵𝑖n (1, $\frac{1}{2}$ ) distribution. Let 𝐾=𝑋1+𝑋2+ ⋯ + 𝑋5 and
$f(x) =\begin{cases}0, & \quad \text{if }k=0,\\\ x_1+x_2+...+x_k, & \quad if\,k=1,2,...,5. \end{cases}$
Then, 𝐸(𝑈) equals ________

Answer 1

The correct answer is: 1.5