A study of petrol prices in a large city on March 1st, 2020 found that the price of E10 varied at garages across the cit
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A study of petrol prices in a large city on March 1st, 2020 found that the price of E10 varied at garages across the cit
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 $1.5 per litre and a standard deviation of 10 cents per litre. 1. (1 mark) What is the probability that a randomly selected garage in the city charged less than $1.62 per litre? (4dp) 2. (2 marks) What is the probability that a randomly selected garage in the city charged more than $1.46 per litre? (4dp) 3. (2 marks) What is the probability that a randomly selected garage charged between $1.38 and $1.68 per litre? (4dp) 4. (1 mark) If the price of E10 at a garage was on the 70th percentile, what was its price per litre? (2dp) $
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