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the average gas milage of a certain model car is 29.0 miles per gallon. if the gas mileages are normally distributed with a standard deviation of 0.6 miles per gallon, find the probability that a car has a gas mileage of between 28.8 and 29.2 miles per gallon.
A:0.321
B:0.261
C:0.851
D:0.131

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The answer is D.
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Cricetus

The probability about the car mileage of between 28.8 and 29.2 will be "0.261".

According to the question,

Average gas mileage,

  • 29.0 miles/gallon

Standard deviation,

  • 0.6 miles/gallon

The probability will be:

→ [tex]p(28.8< x< 29.2) = p(\frac{28.8-290}{0.6}<z<\frac{29.2-29}{0.6} )[/tex]

                                 [tex]= p(-0.34<z<0.133)[/tex]

                                 [tex]= 0.261[/tex]

Thus the above alternative i.e., "option B" is correct.

Learn more:

https://brainly.com/question/15730619

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