SOLUTION: 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 f

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Question 1194786: 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.
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


It's not clear what you are asking for here; perhaps you are using the wrong vocabulary.

A probability function P(x) gives the probability that a certain outcome is obtained. For a uniform distribution of a continuous variable, the probability of any exact value in the specified range is zero, so asking for the probability function for a variable with uniform distribution of values between 9 and 15 doesn't make sense.

Re-post, asking the question you really mean to be asking.
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~ 


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) =  = ;

In case (b),  P(a < X) =  = ;

In case (c),  P(a < X < b) =  = .

Hope I answered your question.



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