Solve the given questions without using any software

1Q

(1). Calculate a loss table from the following payoff table: Strategies Events E1 E2 E3 E4 Al 50 300 -150 50 A2 400 0 100 0 A3 50 200 0 100 A4 0 300 300 If the probabilities of the events are: P(E1) = 0.15. P(E2) = 0.45, P(E3) = 0.25, P(E4) = 0.15 Calculate the expected payoff and expected loss of each action. Calculate expected payoff (EMV) and expected loss (EOL) of each action?A market survey is made on three brands of food X, Y and Z. Everytime a customer purchases a new package, he may buy the same brand or switch to another brand. The following transition matrix was obtained from available data: X Y Z 0.7 0.2 0.1 Y 0.3 0.5 0.2 Z 0.3 0.3 0.4 At this time it is estimated that 30 per cent of the people buy Brand X, 20 per cent Brand Y and 50 per cent Brand Z. What will the distribution of customers be two time periods later ?For the past 200 days, the sales of bread from the Fresh Food Bakery have been as follows: Daily sales (loaves) 31 32 33 34 35 No. of days 10 60 60 50 20 The bakery's production costs are