I would like to know if someone is able to help me in the following question:
A total of 11 people, including you, are invited to a party. The times at which people arrive at the party are independent uniform (0,1) random variables.
a) Find the expected number of people who arrive before you.
b) Find the variance of the number of people who arrive before you.
I have tried the following:
Let X be the number of people arriving before me
Let T be my arrival time
E[X] = integral of (E[X/Y=y]fy(y) dy
After I am not too sure..
Can someone please help me.
Thank you very much.