Respuesta :
Answer:
12.5% probability that the truck driver goes more than 650 miles in a day
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 lower than x or equal is given by the following formula.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
The number of miles driven by a truck driver falls between 300 and 700, and follows a uniform distribution.
This means that [tex]a = 300, b = 700[/tex]
What is the probability that the truck driver goes more than 650 miles in a day?
Either he goes 650 miles or less, or he goes more than 650 miles. The sum of the probabilities of these events is 1. So
[tex]P(X \leq 650) + P(X > 650) = 1[/tex]
[tex]P(X > 650) = 1 - P(X \leq 650) = 1 - \frac{650 - 300}{700 - 300} = 0.125[/tex]
12.5% probability that the truck driver goes more than 650 miles in a day
