# Normal Distribution

#### blueturkey

Hi, I'm having a bit of trouble with this question.

The fuel consumption of a ﬂeet of 150 lorries is approximately normally distributed with mean 15 mpg and sd 1.5 mpg.

(ii) What is the probability that the average consumption of a random sample of four lorries exceeds 16 mpg?

I have an idea on how to solve the question, by using the standard normal distribution but how do I take into account that the question is asking for the consumption of four lorries, rather than 150?

#### CaptainBlack

MHF Hall of Fame
Hi, I'm having a bit of trouble with this question.

The fuel consumption of a ﬂeet of 150 lorries is approximately normally distributed with mean 15 mpg and sd 1.5 mpg.

(ii) What is the probability that the average consumption of a random sample of four lorries exceeds 16 mpg?

I have an idea on how to solve the question, by using the standard normal distribution but how do I take into account that the question is asking for the consumption of four lorries, rather than 150?

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