The probability distribution below represents the probability of x number of survey respondents who claim that family contributes most to happiness. X 0 1 2 3 Check 4 5 6 P(x) 0.004 0.013 0.028 0.353 0.227 0.217 0.158 a.) Find the probability of exactly 5 respondents claiming that family contributes most to happiness. b.) Find the probability that 5 or more respondents claim that family contributes most to happiness. c.) Find the probability that less than 3 respondents claim that family contributes most to happiness. When a fair die is rolled, the probability of it coming up as 6 is approximately 0.17. Suppose the die is rolled 15 times. (round all answers to four decimal places) a.) Find the probability that none of the rolls come up as a 6. b.) Find the probability that exactly five of the rolls come up as a 6. c.) Find the probability that at most four of the rolls come up as a 6. d.) Find the probability that at least seven of the rolls come up as a 6. Check