Question

question 10 options: miles per gallon of a vehicle is a random variable with a uniform distribution from 22 to 39. the probability that a random vehicle gets between 26 and 31 miles per gallon is: answer: (round to four decimal places)

Answer 1

The probability that a vehicle gets between 26 and 31 miles per gallon, with a uniform distribution from 22 to 39 mpg, is 0.2941 after rounding to four decimal places.

Step-by-step explanation:

The student's question pertains to the probability of a random variable that follows a uniform distribution. Specifically, the problem involves finding the probability that a vehicle's miles per gallon performance falls between two values. To solve this, one must understand that in a uniform distribution, the probability is proportional to the length of the interval within the overall range. In this case, the range is from 22 to 39 miles per gallon.

The probability that a random vehicle gets between 26 and 31 miles per gallon is calculated by subtracting the lower interval limit from the higher one, then dividing that by the total range of the distribution.

Probability = (31 - 26) / (39 - 22) = 5 / 17 ≈ 0.2941

So, the probability is approximately 0.2941, which can be rounded to 0.2941 when considering four decimal places.

Answer 2

This was a hard one but it’s B I did it last Night 377^uu