Question 1203929
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Customer at TAB are charged for the amount of salad they take. Sampling suggests 
that the amount of salad take is uniformly distributed between 5 ounces and 15 ounces. 
Let X=salad plate filling weight. 
(1) Find the probability density of function of X. 
(2) What is the probability that a Customer will take between 12 and 15 ounces of salad. 
(3) What is the probability that a Customer will take fewer that 5 ounces of salad. 
(4) fine E(X) and Var (X).
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<pre>
(1)  P = {{{(X-5)/(15-5)}}} = {{{(X-5)/10}}}.    <U>ANSWER</U>

     It is how the uniform distribution works.



(2)  P = {{{(X-12)/(15-5)}}} = {{{(X-12)/10}}},  for 12 <= X <= 15.    <U>ANSWER</U>

     It is how the uniform distribution works.



(3)  P = 0  for  X <= 5.    <U>ANSWER</U>

     It is what the problem states.
</pre>

Solved.


For (4), consult your textbook on uniform distribution.