Answer:
0.2 = 20% probability that on a given day the previews last between 10 and 12 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 between c and d is given by:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes.
This means that [tex]a = 5, b = 15[/tex]
What is the probability that on a given day the previews last between 10 and 12 minutes?
[tex]P(10 \leq X \leq 12) = \frac{12 - 10}{15 - 5} = \frac{2}{10} = 0.2[/tex]
0.2 = 20% probability that on a given day the previews last between 10 and 12 minutes
