It is known that 60% of calls processed by a telephone company are voice calls while the rest are data calls. Calls are also classified according to their duration as either short calls or moderate calls or long calls. It is known that 30% of calls are short calls, 40% are moderate calls, and the rest are long calls. It is also known that:(i) 70% of calls processed by the company are either voice or long,

(ii) 10% of calls are short and data

(iii) among moderate calls, 50% are voice

a. [12 pts] Find the probability that a call is either data or short

b. [13 pts] If a randomly selected call is a data call, find that probability that it is a long call.