Answer to Question #5372 in Statistics and Probability for kelly

Question

high temperatures in a certain city for the month of August follow a uniform distributuion over the interval 60 degrees to 85 degrees fareheit. what is the probabilty that a randomly selected August day has high temperature that exceeds 65 degrees

Answer 1

probabilty that a randomly selected August day has high temperature that exceeds
65 degrees=
<img src="data:image/png;base64,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" alt="">because we have a uniform distributuion