Please explain these step by step. Thank you in advance. 1. Two 4-sided dice are tossed 10 times and the sum of the \"down\" faces is noted. What is the probability that the sum of 4 occurs at most two times? Leave your answer as a percent rounded to one decimal place. Provide evidence of your work by typing out your full solution. Calculate the following: P(x=2)+ P(x=1)+ P(x=0) The nal answer, as a percent rounded to one decimal place, should be 71.5%.(Please explain) 2. In Chelmsford County Hospital, the probability that a randomly chosen birth results in a boy is 45%. Over the course of a month, there are 20 births at the hospital. What is the chance that more than 14 of the births are boys? Use the binomial distribution formula. Provide evidence of your work by typing out your full solution. The rst step in your solution should be as follows: C(20,15)(0.45)"15(0.55)"5 + C(20,16)(0.45)"16(0.55)"4 + C(20,17)(0.45)"17(0.55)"3 + C(20,18)(0.45)"18(O.55)"2 + C(20,19)(0.45)"19(0.55)"1 + C(20,20)(O.45)"20(0.55)"0 Final answer, as a percent rounded to one decimal place, should be 0.6%. 3. A drawer contains 5 pairs of green socks, 3 pairs of black socks, and 4 pairs of red socks. The 12 pairs of socks are jumbled together in one drawer, but each sock is still attached to its mate. You reach into the drawer and pull out 3 pairs of socks, one at a time, without putting any back. What is the probability that you get 2 pairs of green socks? Leave your answer as a fraction in lowest terms. Provide evidence of your work by typing out your full solution. The calculation steps should be as follows: P(x=2)= [C(5,2) >