6.11 A consultant has presented his client with three
alternative research studies that could be conducted. If
the client chooses alternative a, the consultant will have
to hire 1 additional employee. Two new employees will
have to be hired if the client chooses b, and 5 if the client
chooses c. The probability that the client will select alter-
native a is 0.1, with P(b) = 0.5 and P(c) = 0.4. Identify
the discrete random variable in this situation and deter-
mine its expected value.