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3. The fill volume of an automated filling machine used for filling cans of carbonated beverage is normally distributed with a mean of 12.3 fluid ounces and a standard deviation of 0.1 fluid ounce. a) 1] What is the probability that a fill volume is less than 12 fluid ounces? SOLUTION ANS: b) 2] If all cans less than 12.1 or more than 12.5 ounces are scrapped, what proportion of cans is scrapped? SOLUTION: ANS: c) [2] Determine specifications that are symmetric about the mean that include 99% of all cans. SOLUTION ANS: The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 20 minutes 4. a) 1] What is the probability that you wait longer than one hour for a taxi? SOLUTION ANS: b) 2] Determine x such that the probability that you wait more than x minutes is 0.05. SOLUTION ANS:
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