From his analyst, the investor learned the following figures: 

One hryvnia invested in Bet Cone, on average, brings 30 kopecks of profit with a standard deviation of 10 kopecks, invested in Hair Team - 50 kopecks of profit with a standard deviation of 20 kopecks. It was decided to invest UAH 5 million in Bet Cone and UAH 2 million in Hair Team. Considering the financial consequences of companies independent, find: 

a) Mathematical expectations; 

b) Standard deviation of the investor's profit. 

c) How will the answers in items a and b change if an additional UAH 3 million is invested in bonds that bring 10 kopecks of risk-free profit for each invested hryvnia?