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Homework answers / question archive / A soft-drink dispensing machine is set to dispense a certain amount of liquid into drink cups
A soft-drink dispensing machine is set to dispense a certain amount of liquid into drink cups. The amount of liquid that is dispensed by the machine is normally distributed with a mean of 10 ounces and a standard deviation of 1 ounce. Use the Empirical Rule (68%-95%-99.7%) to answer the questions below. Answers may be used more than once, and some answers may not be used at all.
Approximately what percent of the cups contain between 9 and 11 ounces of liquid?
Approximately what percent of the cups contain between 8 and 10 ounces of liquid?
Approximately what percent of the cups contain more than 12 ounces of liquid?
Approximately what percent of the cups contain between 8 and 11 ounces of liquid?
A. 0.15%
B. 2.5%
C. 13.5%
D. 3496
E. 47.5%
F. 49.85%
G. 68%
H. 81.5%
1. 83.85%
J. 95%
K. 99.7%
Answer:
According to Empirical rule, 68%, 95% and 99.7% of data values lie within 1, 2 and 3 standard deviations of mean respectively.
Mean = 10 ounces
Standard deviation = 1 ounce
1. Approximate percentage between 9 and 11 ounces = 68%
2. Approximate percentage between 8 and 10 ounces = 95%
3. Approximate percentage above 12 ounces = 2.35 + 0.15 = 2.5%
4. Approximate percentage between 8 and 11 ounces = 13.5 + 34 + 34 = 81.5%
PFA
