Question 1194786
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The total time to process a loan application is uniformly distributed between 9 and 15 days. 
Let X denote the time to process a loan application. Give the mathematical expression for the probability function.
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<pre>
In such problems, the probability is usually considered in one of three forms:


    (a)  P(X < b),

or
   
    (b)  P(a < X),

or

    (c)  P(a < X < b),


where  "a"  and  "b"  are real numbers, usually  9 =< a < b <= 15.



In case (a),  P(X < b) = {{{(b-9)/(15-9)}}} = {{{(b-9)/6}}};

In case (b),  P(a < X) = {{{(15-a)/(15-9)}}} = {{{(15-a)/6}}};

In case (c),  P(a < X < b) = {{{(b-a)/(15-9)}}} = {{{(b-a)/6}}}.
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Hope I answered your question.