Discrete vs. Continuous DataThe table below shows the results for the sum when two die are rolled.Die 1 -1234 5 6Die 2!123456 723 456 7 83456789456789.1056 78910 116789 10 11 121. What is the probability distribution? (Enter the exact values by using fractions. Use / as the division bar. Do not use spaces inyour answers.)4.9.P(z)1/362/363/364/365/367/361012 SC6 78910 116.789 10 11 121. What is the probability distribution? (Enter the exact values by using fractions. Use / as the division bar. Do not use spaces inyour answers.)346.7P(z)1/362/363/364/365/367/3689101112P(z)2. What is the probability of rolling two die and getting a sum of 3? P(x• 3)1/183. What is the probability of rolling two die and getting a sum that is less than 12? P(r• 12)4. What is the probability of rolling two die and getting a sum that is between 4 and 6, inclusive? P(4

Note: Since, we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and specify the other sub-parts (up to 3) you'd like answered. Solution: 1). P(X = 2) = 136 P(X = 3) = 236 P(X = 4) = 336 P(X = 5) = 436 P(X = 6) = 536 P(X = 7) = 636 P(X = 8) = 536 P(X = 9) = 436 P(X = 10) = 336 P(X = 11) = 236 P(X = 12) = 136 X 2 3 4 5 6 7 8 9 10 11 12 P(X) 136 236 336 436 536 636 536 436 336 236 136 2). The probability of rolling two die and getting a sum of 3 is = P(X = 3) Since, there are only two outcomes getting sum of 3. P(X = 3) = 236 = 118 3). The probability of rolling two die and getting a sum that is less than 12 P(X<12) = 1-P(X≥12) = 1-P(X = 12) = 1-136 = 3536 4). The probability of rolling two die and getting a sum that is between 4 and 6 = P(4 ≤ X ≤ 6) P(4 ≤ X ≤ 6) = P(X = 4) + P(X = 5) + P(X = 6) = 336 + 436 + 536 = 1236 = 13Answer: 1). X 2 3 4 5 6 7 8 9 10 11 12 P(X) 136 236 336 436 536 636 536 436 336 236 136 2). The probability of rolling two die and getting a sum of 3 is =118 3). The probability of rolling two die and getting a sum that is less than 12 = 3536 4). The probability of rolling two die and getting a sum that is between 4 and 6 = 13