Answer:
0.76 = 76% probability that he will wait longer than 6 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution 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]
A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution.
This means that [tex]a = 0, b = 25[/tex]
What is the probability that he will wait longer than 6 minutes?
[tex]P(X > 6) = \frac{25 - 6}{25 - 0} = 0.76[/tex]
0.76 = 76% probability that he will wait longer than 6 minutes
