3. A bank call center rates incoming calls according to urgency (on a scale of 1 to 35 with 3 being the most urgent) and whether the caller has an account with the bank (coded numerically as l) or does not have an account with the bank (coded numerically as 2). According to managers at the call center5 the urgency U and account A [i.e.5 0 or 1) of a typical call have the following probabilistic properties: i A caller is three times more likely to have an account than does not have an account. ii If a caller does not have an account. the call has a one third chance of being lowurgency (i.e.. urgency 1). iii By contrast. if a caller has an account= the call has a 50% chance of being highurgency. iv A highurgency call is four times more likely to come from a caller with an account than a caller without an account. v Out of the possible urgency levels, medium urgency (i.e. urgency 2) is the least likely. The probability that a randomly selected call is medium urgency is just 3/16. Use this information to write down the joint p.rn.f. for A and U. [8 marks]