2 55 pts Ca warmup Suppose you flip a fair coin On the 10th

2. (5+5 pts.) Ca) (warmup) Suppose you flip a fair coin. On the 10th flip, you get your 2nd \"head\". Let X the flip you got your first head on Erample: TTTHTTTTTH means 4. Find the distribution of X (b) Suppose X, Y are independent geometric distributions with the same parameter p. in POX il X --Y n)

Solution

x f(x) 1 1/10 2 1/10 3 1/10 4 1/10 5 1/10 6 1/10 7 1/10 8 1/10 9 1/10 10 1/10