SOLUTION: Please help. A calculus professor plans classes so carefully that the length of his classes is uniformly distributed between 100.0 min. and 105.0 min. Let x be the random variable

Question 1183804: Please help. A calculus professor plans classes so carefully that the length of his classes is uniformly distributed between 100.0 min. and 105.0 min. Let x be the random variable representing the length of his randomly selected class. Find the probability the class is greater than 103 min.
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
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Please help. A calculus professor plans classes so carefully that the length of his classes is uniformly distributed
between 100.0 min. and 105.0 min. Let x be the random variable representing the length of his randomly selected class.
Find the probability the class is greater than 103 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.1183789.html

https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1183789.html

So, this time I will be short.

    P =  =  = 0.4 = 40%.    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.

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