Consider the following information about passengers on a cruise ship on vacation: 41% check work e-mail, 31% use a cell phone to stay connected to work, 25% bring a laptop with them on vacation, 22% both check work e-mail and use a cell phone to stay connected, and 50% neither check work e-mail nor use a cell phone to stay connected nor bring a laptop. in addition, 89% of those who bring a laptop also check work e-mail and 71% of those who use a cell phone to stay connected also bring a laptop. with e = event that a traveler on vacation checks work e-mail c = event that a traveler on vacation uses a cell phone to stay connected l = event that a traveler on vacation brought a laptop use the given information to determine the following probabilities. a venn diagram may . (round all answers to four decimal places.) (a) p(e) = (b) p(c) = (c) p(l) = (d) p(e and c) = (e) p(ec and cc and lc ) = (f) p(e or c or l) = (g) p(e|l) = (h) p(l|c) = (i) p(e and c and l) = (j) p(e and l) = (k) p(c and l) = (l) p(c|(e and l)) =