Answer to Question #10445 in Statistics and Probability for John

Question

The label on a bottle of salad dressing shows the contents to be 16 ounces per bottle. The production operation fills the bottles uniformly according to the following probability density function:
f(X) = {5, for 15.85 < x < 16.05 }
{ 0, elsewhere }
a) Sketch a graph of the pdf.
b) what is the probability that the bottle will be filled with between 15.9 and 16.1 ounces?
c) Calculate the probability that a randomly chosen bottle will be filled with exactly 16 ounces?
d) Quality control accepts a bottle that is filled to within 0.03 ounces of the number of ounces shown on the label. What is the probability that a bottle of this salad dressing will fill to meet the quality control standard?