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A continuous random variable has a uniform distribution. Find the probability of the given event.
Suppose the reaction time x (in minutes) of a certain chemical process follows a uniform
probability distribution with 5≤x≤15 . Find the probability that the given reaction time
is greater than 8 min.
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Yesterday I solved a TWIN problem at this link
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183790.html
https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183790.html
So, this time I will be short.
P = = = 0.7 = 70%. ANSWER
As always in such problems, you divide the "favorable" time interval length by the base interval length.
It is how the uniform distribution probability works.
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Comment from student : Thank you for your help! I checked the link and I noticed that problem was "less than"
while this one is "greater than). So for either way, they are solved the same?
My response : You are right. The major idea is the same
P = .
The only thing is to take care to calculate the numerator and denominator correctly.