Question

Studies show that gasoline use for compact cars sold in the US is normally distributed with a mean of 25.5 miles per gallon (mpg) and a standard deviation of 4.5 mpg. What percentage of compacts get 30 mpg or more?

Answer #1

Solution :

Given that ,

mean = = 25.5

standard deviation = = 4.5

P(x 30) = 1 - P(x 30)

= 1 - P[(x - ) / (30 - 25.5) / 4.5]

= 1 - P(z 1)

= 1 - 0.8413

= 0.1587

**Answer = 15.87%**

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