report probabilities in a. and b. as decimals with_four digits after decimal point. Report the amount (in mL) in c. as a decimal with two digits after decimal point. Show your work in finding the answer. 12.(2 + 2 + 2 = 6 marks) A soda dispensing machine is set to dispense on average 360 mL (milliliters) of soda per bottle. The amounts of soda dispensed by machine are the values of random variable X, which follows normal distribution with the mean equal to 360 mL and standard deviation equal to 3 mL Show your work in finding probability in the questions a. and b., and answering the question c. a. Probability that the machine will dispense more than 365 mL of soda into randomly selected bottle is b. Probability that a machine will dispense between 357 mL and 366 mL of soda into randomly selected bottle is c. The amount of soda in a bottle (in mL) exceeded by 10 % of amounts of soda dispensed by machine is