For each part, write the relevant formula used to determine each value of the probability distribution and substitute all given information. It is not necessary to simplify your answer. a.) A regular die is rolled five times. "Six" is considered a success. b.) A number from one to twenty is randomly generated by a computer software program. c.) A regular spinner with 7 segments is spun five times. "Prime" is considered a success. d.) A five card hand is dealt from a regular deck of cards. Getting a "diamond" card is considered a success. e.) Student council is composed of five elected individuals. The eligible students include eight grade nine students, three grade ten students, nine grade eleven students and six grade twelve students. Consider every elected grade twelve student to be a success