2.1(0.2x−1.4)=1.3(0.4x−3.5)
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Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.
<h3>What is the uniform probability distribution?</h3>It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.
The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:
More can be learned about the uniform distribution at brainly.com/question/13889040