Independent random variables

[shoplifter]

Let x_1, x_2, ..., x_n be identically distributed independent random variables, taking values in (1, 2). If y = x_1/(x_1 + ... + x_n), then what is the expectation of y?

 

[bpet]

Hint: use E[(x_1+...+x_n)/(x_1+...+x_n)]=1.