# Question: Explain how you could use random numbers to approximate 10

Explain how you could use random numbers to approximate ∫10 k(x) dx, where k(x) is an arbitrary function.

If U is uniform on (0, 1), what is E[k(U)]?

If U is uniform on (0, 1), what is E[k(U)]?

## Relevant Questions

(a) How many different 7-place license plates are possible if the first 2 places are for letters and the other 5 for numbers? (b) Repeat part (a) under the assumption that no letter or number can be repeated in a single ...Delegates from 10 countries, including Russia, France, England, and the United States, are to be seated in a row. How many different seating arrangements are possible if the French and English delegates are to be seated next ...Consider the following combinatorial identity: (a) Present a combinatorial argument for this identity by considering a set of n people and determining, in two ways, the number of possible selections of a committee of any ...Determine the number of vectors (x1, . . ., xn) such that each xi is a nonnegative integer and Develop a technique for simulating a random variable having density functionPost your question