Based on the earlier observations and analysis of beach pollution statistics, assume that the distribution of the Beach_Litter measure is normal with a mean of 5.72 and a standard deviation of 0.72.

(a) (2 marks) The probability that for a randomly chosen beach, the Beach_Litter measure exceeds 7 is (4dp)Answer

(b) (2 marks) The probability for a randomly chosen beach that the Beach_Litter measure is between 5 and 7 is (4dp)Answer

(c) (2 marks) The probability of the average Beach_Litter measure in a sample of 10 randomly chosen beaches being less than 5.5, is (4dp)Answer

(d) (2 mark) The value of Beach_Litter which has only 7.5% probability of finding a beach having a higher Beach_Litter measure in the distribution is equal to (3dp)Answer