An experiment of drawing two different dice one time, if the random variable X represents the sum of appearing numbers, then X takes the value 12 O from 1 to 12 O from 1 to 6 O from 2 to 12 O

Suppose that we roll two fair dice, one red and one blue. Then there are 36 possible outcomes in the sample space, as shown in the table below. Blue Die 1 4 6. 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 84 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) A 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4)| (6,5) (6,6) Suppose we write the sample space in terms of the number of dots facing up on the two dice. That is, write S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Use the table to answer each of the following: Complete the probability distribution function (pdf). Enter your answer as a fraction. Sample space Probability 2 3 4.

!!(Hello, I need 1,5,6,7, and 8.)!!! A charity organization hosts a raffle drawing at a fundraising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected, with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000. Suppose you buy one ticket. Let the random variable X represent your net gain from playing the game once (remember that the net gain should include the cost of the ticket).   Use the table below to help you construct a probability distribution for all of the possible values of X and their probabilities. (I'm not sure how to organize the numbers in this table)(The numbers are in the paper I sent.) (X) Net Gain Probability                 2. Find the mean/expected value of X. (Round to two decimal ) Answer: $-1.6   3. In complete sentences, describe the interpretation of what your value from #2 represents in the context of the Answer: -1.6 represents the amount of money you will lose if you decide to…

Yet another variation: A better packet switched network employs the concept of acknowledgment. When the end user’s device receives a packet correctly it sends an acknowledgment to the sender. Here too, a packet is received correctly with probability p, but the sender keeps sending copies of a given packet until a copy is correctly received (signaled by acknowledgment). Let random variable N be the number of times the same message packet is sent.