Question

The average miles per gallon of a particular automobile model are approximately normally distributed with a given mean mu = 43.8 miles per gallon and standard deviation sigma = 5.1 miles per gallon. what percentage of the automobiles have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon?

Answer 1

The percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%

One standard deviation above the mean

1 std above mean = M + d = 43.8  + 5.1 = 48.9

One standard deviation below the mean

1 std below the mean, = M - d = 43.8 - 5.1 = 38.7

Probability of normal distribution

The probability between one standard deviation below the mean and one standard above the mean = 34% + 34% = 68%

Thus, the percentage of the automobiles that have an average miles per gallon between 38.7 miles per gallon and 48.9 miles per gallon is 68%.

Learn more about normal distribution here: https://brainly.com/question/26678388

Answer 2

Answer:

A, 68%

Step-by-step explanation:

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