Answer:
0.5 = 50% probability that 13 or more ounces will be dispensed in a given glass
Step-by-step explanation:
The uniform distribution is used when every outcome has the same probability.
It has two extremes, a and b.
If we want to find the probability of a value being higher than x, we use the following formula:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Assuming that the amount of water dispensed follows a continuous uniform distribution from 10 ounces to 16 ounces
This means that [tex]a = 10, b = 16[/tex]
What is the probability that 13 or more ounces will be dispensed in a given glass
[tex]P(X > 13) = \frac{16 - 13}{16 - 10} = 0.5[/tex]
0.5 = 50% probability that 13 or more ounces will be dispensed in a given glass
