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for a certain new bike, petrol consumption on the highway is normally distributed with an unknown mean and standard deviation. however the manufacturer does know

for a certain new bike, petrol consumption on the highway is normally distributed with an unknown mean and standard deviation. however the manufacturer does know that 86% of the time the bike gets more than 45.2 kmpl on the highway and 99% of the time it gets more than 32.7 kmpl determine the mean and standard deviation of highway petrol consumption of the bike.

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