Answer:
46.43% probability that the distance is environment friendly.
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 greater than x is given by the following formula.
[tex]P(X > x) = \frac{b - x}{b-a}[/tex]
Uniform distribution between 39 and 67 meters:
This means that [tex]a = 39, b = 67[/tex]
Any distance between poles greater than 54 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?
[tex]P(X > x) = \frac{b - x}{b-a}[/tex]
[tex]P(X > 54) = \frac{67 - 54}{67 - 39}[/tex]
[tex]P(X > 54) = 0.4643[/tex]
46.43% probability that the distance is environment friendly.
