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Miles per gallon of a vehicle is a random variable with a uniform distribution from 23 to 47. The probability that a random vehicle gets between 25 and 30 miles per gallon is: Answer: (Round to four decimal places)

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Answer:

5/24

Step-by-step explanation:

The graph of this probability function is a straight horizontal line.  Since the area under a probability curve must be 1.000, the magnitude of this particular probability function is 1 / (47 - 23), or 1 / 24.

Therefore, the probability that the random vehicle gets between 25 and 30 mpg is the area under this "curve" between x = 25 and x = 30:

P(between 25 and 30 mpg) = (5 mpg)(1 / 24) = 5/24, or approximately 0.208.

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