A certain car averages 27.1 mpg with a standard deviation of 1.4 MPG if miles per gallon is normally distributed what is the minimum miles per gallon that puts a car in the top 30% of gas mileage

27.83 mpg is the minimum miles per gallon that puts a car in the top 30% of gas mileage.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 27.1 mpg

Standard Deviation, σ = 1.4

We are given that the distribution of miles per gallon is a bell shaped distribution that is a normal distribution.

Formula:

We have to find the value of x such that the probability is 0.3

Calculation the value from standard normal z table, we have,  

Thus, 27.83 mpg is the minimum miles per gallon that puts a car in the top 30% of gas mileage.

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step-by-step explanation: