Question

Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35. The probability that a random vehicle gets between 25 and 34 miles per gallon is: Answer: (Round to one decimal place)

Answer 1

Answer:

0.9 = 90%

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

$P(c \leq X \leq d) = \frac{d - c}{b-a}$

Miles per gallon of a vehicle is a random variable with a uniform distribution from 25 to 35.

This means that $a = 25, b = 35$

The probability that a random vehicle gets between 25 and 34 miles per gallon is:

$P(25 \leq X \leq 34) = \frac{34 - 25}{35 - 25} = 0.9$

So the answer is 0.9 = 90%