Answer:
60% probability that the commuting time will be less than 70 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
[tex]P(X < x) = \frac{x - a}{b-a}[/tex]
Suppose that the actual commuting time is uniformly distributed between 64 and 74 minutes.
This means that [tex]a = 64, b = 74[/tex]
What is the probability that the commuting time will be less than 70 minutes
[tex]P(X < 70) = \frac{70 - 64}{74 - 64} = 0.6[/tex]
60% probability that the commuting time will be less than 70 minutes
