Consider the following information about travelers on vacation: 41% check work email, 30% use a cell phone to stay connected to work, 25% bring a laptop with them on vacation, 22% both check work email and use a cell phone to stay connected, and 51% neither check work email nor use a cell phone to stay connected nor bring a laptop. In addition 88% of those who bring a laptop also check work email and 70% of those who use a cell phone to stay connected also bring a laptop. With E = event that a traveler on vacation checks work email, C = event that a traveler on vacation uses a cell phone to stay connected, and L = event that a traveler on vacation brought a laptop, use the given information to determine the following probabilities. A Venn diagram may help. (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)) =