Question:

Let 𝑋1,𝑋2, … , 𝑋5 be 𝑖. 𝑖. 𝑑. random variables, each having the 𝐡𝑖n (1, \(\frac{1}{2}\) ) distribution. Let 𝐾=𝑋1+𝑋2+ β‹― + 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(π‘ˆ) equals ________

Updated On: Oct 1, 2024
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Correct Answer: 1.5

Solution and Explanation

The correct answer is: 1.5
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