3. The table below shows the probabilities of rolling sums from 2 to 12 with a pair of 6-sided dice. Use the table to find the mean of the random variable x (the expected value of the sum rolled with 2 dice). x 2 3 4 5 6 7 8 9 10 11 12
P(x) 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36
Part A: Complete the table below. You do not need to reduce fractions. The first row is filled in for you.
i xi P(xi) xiP(xi)
1 2 1/36 2/36
2 3 2/36
3 4 3/36
4 5 4/36
5 6 5/36
6 7 6/36
7 8 5/36
8 9 4/36
9 10 3/36
10 11 2/36
11 12 1/36
Part B: Find the mean of the random variable x. Use this formula: (attached)
Thank you so much for your help I really need this I have to get this done by tomorrow and I'm rushing thank you and have a great day!