WRITE YOUR ANSWERS ON PAPER, SHOW JUSTIFICATION OF ALL YOUR ANSWERS, AND UPLOAD HERE. The amount of soda in a half-liter bottle follows a normal distribution. Assume u = 400 ml and o = 10 ml. FOR EACH PART DRAW A SEPARATE PICTURE, LABEL, AND SHADE AS MUCH AS YOU NEED TO CONVINCE ME THAT YOU UNDERSTAND. a) Find the probability that a randomly selected half-liter bottle has under 390 ml of soda. b) Find the 90th percentile (in ml) of this random variable. c) A government auditor will fine the company if a random sample of 5 bottles has a sample mean under 390 ml. Find the probability the company will be fined