A group insuranceplan allows three different options for participants (plan A, plan B, and plan C). Suppose that the percentages of participants changing plans follows the following pattern among the members of plan A, 15% move to plan B and 10% move to plan C in a year among the members of plan 8. 25% move to plan A and 30% move to plan C in a year among the members of plan C 20% move to plan A and 40 % move to plan B a Draw the State diagram for this situation b Write the stochastic matrix for this situation c Suppose plan A has 250 members plan B has 300 members, and plan C has 450 members How many members does each plan have after 5 years? d Long term. how will membership be distributed between the plans? a plan needs 25% of the total membership to be viable long term should one of the plans be dropped from the portfolio