Consider the following information about passengers on a cruise ship on vacation

Question

Consider the following information about passengers on a cruise ship on vacation: 41% check work e-mail, 29% use a cell phone to stay connected to work, 26% bring a laptop with them on vacation, 21% both check work e-mail and use a cell phone to stay connected, and 52% neither check work e-mail nor use a cell phone to stay connected nor bring a laptop. In addition 88% of those who bring a laptop also check work e-mail 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 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 help. (Round all answers to four decimal places.)

(f)    P(E or C or 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)) =

Explanation / Answer

F) P(E OR C OR L) = P(E)+P(C)+P(L) = 0.41+0.29+0.26 = 0.96

I) P(E AND C AND L) = P(E)*P(L)*P(C) = 0.41*0.29*0.26 = 0.0309

J) = P(E AND L) = P(E)*P(L) = 0.41*0.26 = 0.1066

K) P(C AND L) = P(C)*P(L) = 0.26*0.29 = 0.0754

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