SOLUTION: 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=sala

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Question 1203929: 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).
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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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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(1)  P = %28X-5%29%2F%2815-5%29 = %28X-5%29%2F10.    ANSWER

     It is how the uniform distribution works.



(2)  P = %28X-12%29%2F%2815-5%29 = %28X-12%29%2F10,  for 12 <= X <= 15.    ANSWER

     It is how the uniform distribution works.



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

     It is what the problem states.

Solved.

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