Answer:
0.6341 = 63.41% probability that his commute today took more than 35 minutes
Step-by-step explanation:
Randomly distributed = Uniform distribution.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes.
This means that [tex]a = 20, b = 61[/tex].
What is the probability that his commute today took more than 35 minutes?
[tex]P(X > 35) = \frac{61 - 35}{61 - 20} = 0.6341[/tex]
0.6341 = 63.41% probability that his commute today took more than 35 minutes
