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A factory fills its 5 kg bags of rice by setting a timer on an injection machine. It has been found that the weight of rice the machine puts into a bag is normally distributed with standard deviation of 0.1 kg.
(a) If the company wants 99% of all bags to have at least 5 kg as printed on the bag, what mean amount should the injection machine be set to put in each bag?
(b) Using the mean obtained in part (a), find out
(i) the lower and upper boundaries of the middle 50% of bags.
(ii) the minimum volume of the top 2% of bags.
Suppose the population of IQ scores in the town or city where you live is bell shaped, with a mean of 105 and a standard deviation of 15.
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Normal distribution has mean of 80 and standard deviation of 14. Find out the value above which 80 percent of values will occur.
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at a large university it is known that 50 of the students live on campus. the director of student life is going to take
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