Please show any work! Thanks! There are 8 numbered balls in a bag. Each ball has a distinct number and the numbers arein {1, 2, 3, 4, 5, 6, 7, 8}.

Please show any work! Thanks!

There are 8 numbered balls in a bag. Each ball has a distinct number and the numbers arein {1, 2, 3, 4, 5, 6, 7, 8}. Take 3 balls from the bag (without replacement) randomly and readthe number on each ball. Let X1 be the maximum number and X2 be the minimum numberamong the three observed numbers

1. What’s the probability of X1 = 5?

2. What’s the mean of X1?

3. What’s the probability of X2 = 5?

4. What’s the probability of X1 + X2 = 8?