Question 1183805
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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


<A HREF=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</A>


https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183790.html


So, &nbsp;this time I will be short.



<pre>
    P = {{{(15-8)/(15-5)}}} = {{{7/10}}} = 0.7 = 70%.    <U>ANSWER</U>
</pre>

As always in such problems, &nbsp;you divide the &nbsp;"favorable" &nbsp;time interval length by the base interval length.


It is how the uniform distribution probability works.



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<U>Comment from student</U> : &nbsp;&nbsp;Thank you for your help! I &nbsp;checked the link and I noticed that problem was &nbsp;"less than" 
while this one is "greater than). &nbsp;So for either way, they are solved the same?



<U>My response</U> : &nbsp;&nbsp;You are right. &nbsp;The major idea is the same


    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;P = {{{favorable_time_interval/base_time interval}}}.



The only thing is to take care to calculate the numerator and denominator correctly.