Answer:
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Step-by-step explanation:
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]
Uniformly distributed over the interval 40 to 75 minutes.
This means that [tex]a = 40, b = 75[/tex]
It is known that the cycle time exceeds 45 minutes
This means that we can use [tex]a = 45[/tex]
What is the probability that the cycle time exceeds 50 minutes?
[tex]P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333[/tex]
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
