Monte Carlo Expectation

Estimate the expectation $\mathbb{E}[f(X)]\backslash mathbb\; E[f(X)]$ from samples of $XX$ by averaging $ff$ over the samples.

Implement solve(f, samples).

Returns. Return a float. An empty sample gives nan.

Examples

Example 1

Input:

solve(lambda s: s**2, [1.0, 2.0, 3.0])

Output:

4.666667

Example 2

Input:

solve(lambda s: s, [0.0, 10.0])

Output:

5.0