The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean ? and standard deviation 5.4 kg. Given that 10% of boxes contains less than 17 kg. Find. a. The value of ?. b. The percentage of boxes that contain more than (17+4) kg. c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (17+3) kg and standard deviation of ?. Given that the probability of boxes contains between 17kg and (17+6) kg is 0.9671, find the value of ?.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The weight, in kilograms, of cereal in a box can be modelled by a normal distribution with Mean ? and
standard deviation 5.4 kg. Given that 10% of boxes contains less than 17 kg. Find.
a. The value of ?.
b. The percentage of boxes that contain more than (17+4) kg.
c. If the machine settings are adjusted so that the weight of cereal in a box is normally
distributed with mean (17+3) kg and standard deviation of ?. Given that the probability of
boxes contains between 17kg and (17+6) kg is 0.9671, find the value of ?.

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