Question

The fill-volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed with a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce. i) What is the probability that a fill-volume is less than 12.26 fluid ounce? ii) If all cans less than 12.1 or greater than 12.6 ounces are scrapped, what proportion of cans is scrapped? iii) Determine the specifications that are symmetric about mean that includes 99% of all cans? iv) The mean of the filling operation can be easily adjusted easily, but the standard deviation remains at 0.1 ounce. At what value should the mean be set so that 99.9% of all cans exceed 12 ounces? v) At what value should the mean be set so that 99.9% of all cans exceed 12 ounces if the standard deviation can be reduced to 0.05 fluid ounce?

Answer 1

Answer:

ith a mean of 12.4 fluid ounces and a standard deviation of 0.1 fluid ounce.