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gabrielolivas59
10.03.2020 •
Mathematics
The amount of time it takes Emma to wait for the train is continuous and uniformly distributed between 4 minutes and 11 minutes. What is the probability that it takes Emma more than 5 minutes to wait for the train?
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Ответ:
85.71% probability that it takes Emma more than 5 minutes to wait for the train
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.
Uniformly distributed between 4 minutes and 11 minutes.
This means that
.
What is the probability that it takes Emma more than 5 minutes to wait for the train?
Either it takes 5 or less minutes, or it takes more than 5 minutes. The sum of the probabilities of these events is 1. So
We want to find
. So
85.71% probability that it takes Emma more than 5 minutes to wait for the train
Ответ: