1] Suppose that P(A]=i!2 and PB}=1f3. Assuming that A and B are mutually exclusive events , calculate a) PEAnB) b] PEALIB} C) PEAIB) d) PEBIA) 2) How assune that HA} and F13) have the same value but that A and E. are independent instead of being mutually exclusive Recalculate the probabilities listed in a-d of part 1. 3) How assune that A and B are neither independent nor mutually exclusive . but that it is known that P{A|B]=if4. Recalculate the probabilities listed in ad of part 1. Inhviawthlmne any lemdtq Hanna-um) Wot} Apple-nod 1W 2!} 5 W 115 5 5 Man: 5:] so 15 Mlnl as so 4o 4] The above table shows the outcome of EBB interviews attempted during an opinion survey of randomly selected individuals in four counties . a) what is the probability that a randomly selected interview report was actually completed ? b] What is the probability that a randomly selected interview report came from Applemod county ? c) what is the probability that a randomly selected interview report involved both a Doughton county respondent and a refusal to be interviewed ? d) What is the probability that a randomly selected interview report involved either a Bakingwell County respondent or a completed interview ? e} Suppose a randomly selected interview report is from Crustboro County what is the probability the person targeted wasn't at home