A survey of a group of consumers finds the following results some bought Ainto products 14's bought Computer products, 4875 bought Elevtrical products: 19 Ise Auto products, no Computer products, and no Electrical products,; 1 75 bought bots Autos and Computer products, 3045 bought both Auto and I lectrival products, 195% bought both Computer and illecirival products. Find the $4 of the group who bought all these products (Auto, Computer, and Electrical). () Show that, for any three events . 8, and ( PAUBUC) - P(A)+P()+P(O)-P(AnB)-PUCC-P(BNC) + PunBAC) Let 4 and 8 be two events such that P() = P(B) =3P(An B) and PLAG BY -0.75 Find (a) PLANB) (B) P(A) (6) P(B) (8) P(AnB ) () PLACBY (1) Ir P(A) = P(BUFY= & 15 und P(EPF) = -, find a) P(FE) B) P(F) y) P(E FS) A survey was taken among Ghanaian workers by an actuary to see which of two popula insurance products people preferred. It was found that 45% preferred motor insurance policy. 40% preferred homeowner's insurance policy, and 35% preferred neither of the products. Suppose that a person in the survey is randomly selected. find the probability the person preferred motor insurance product given that: He preferred homeowner's insurance policy He did not select homeowner's insurance policy ON TWO a survey of 150 Ghanaians, their opinions were sought about the government's d loating a bond issue to boast the economy. The results are summarized in t