Question

A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of μ = 60,000 miles and a standard deviation of σ = 12,000 miles. Please specify what you'd like to complete in part (a) of this question.

Answer 1

To find the probability that the truck driver goes between 400 and 650 miles in a day, we can use the formula for the probability density function (PDF) of a uniform distribution.

Step-by-step explanation:

b. Find the probability that the truck driver goes between 400 and 650 miles in a day.

To find this probability, we can use the formula for the probability density function (PDF) of a uniform distribution:

P(a < X < b) = (b - a) / (b - a)

Here, a = 400 and b = 650. Substituting these values into the formula, we get:

P(400 < X < 650) = (650 - 400) / (700 - 300) = 250 / 400 = 0.625

Therefore, the probability that the truck driver goes between 400 and 650 miles in a day is 0.625.