In a large population, 55 96 of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated? Give your answer as a decimal (to at least 3 places} or fraction. For a group of four 50-year oLd men, the probability distribution for the number a: who Live through the next year is as given in the table beLow. :12 13(3) 0 00001 1 0.0029 2 0.0427 3 02m 4 0.5757 Verify that the table is indeed a probability distribution. Then find the mean of the distribution. mean = Report answer accurate to 1 decimal place. Assume that the proportion of voters who prefer Candidate A is p = 0.218. Organization D conducts a poll of n = 5 voters. Let X represent the number of voters polled who prefer Candidate A. Use some form of appropriate technology (e.g., your calculator or statistics software like Excel, R, or StatDisk) to 'Find the cumulative probability distribution. (Report answers accurate to 4 decimal places. )