It is recommended that each month you don't eat any more than 600 grams of prawns caught in Sydney Harbour (due to dioxin contamination). Assume prawn mass has a mean of 16.0 grams and a standard deviation of 5 grams. a) If you catch 40 prawns in Sydney Harbour, what is the chance that eating all of them would exceed the maximum recommended intake? (Enter your answer correct to 3 decimal places) b) If you eat all 40 prawns anyway, what is an upper limit on the total mass eaten, such that this upper limit would only be exceeded 2.0% of the time? Give your answer in grams. grams (Enter your answer cerrect to the nearest integer) c) What assumptions did you need to make to answer this question? Tick all that apply. Mass of prawns is approximately normally distributed. C] None. The prawns you catch and eat can be treated as a random sample, with their masses being independent and coming from the same distribution