A study of petrol prices in a large city on March 1st, 2020 found that the price of E10 varied at garages across the city according to a normal distribution with a mean of $1.95 per litre and a standard deviation of 10 cents per litre.

(1 mark) What is the probability that a randomly selected garage in the city charged less than $2.09 per litre? (4dp) Answer

(2 marks) What is the probability that a randomly selected garage in the city charged more than $1.90 per litre? (4dp) Answer

(2 marks) What is the probability that a randomly selected garage charged between $1.81 and $2.11 per litre? (4dp) Answer

(1 mark) If the price of E10 at a garage was on the 65th percentile, what was its price per litre? (2dp) $ Answer