Final answer:
The student's question involves evaluating the mathematical expression E = 1*(1/2) + 2*(1/4) + 3*(1/8) + 4*(1/8). Each term is individually calculated, and the sum yields that E equals 15/8 or 1.875.
Step-by-step explanation:
The question deals with evaluating an expression that appears to be a series. In mathematics, the expression E given as E = 1*(1/2) + 2*(1/4) + 3*(1/8) + 4*(1/8) represents a sum where each term is a product of an integer and a fraction.
To evaluate the value of E, each term in the series must be calculated separately, and then all terms should be added together:
- 1*(1/2) = 1/2
- 2*(1/4) = 2/4 = 1/2
- 3*(1/8) = 3/8
- 4*(1/8) = 4/8 = 1/2
Adding these values together gives us:
E = 1/2 + 1/2 + 3/8 + 1/2
We can simplify this further by converting all terms to the same denominator:
E = 4/8 + 4/8 + 3/8 + 4/8 = 15/8
Therefore, the expected value E is equal to 15/8 or 1.875.