The weight, in kilograms, of cereal in a box, can be modeled by a normal distribution with Mean ? and a standard deviation of 5.4 kg. Given that 10% of boxes contain less than 18 kg. Find. a. The value of ?. b. The percentage of boxes that contain more than (18+4) kg.  c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (18+3) kg and standard deviation of ?. Given that the probability of boxes contains between 18 kg and (18+6) kg is 0.9671, find the value of ?.

Question

The weight, in kilograms, of cereal in a box, can be modeled by a normal distribution with Mean ? and a standard deviation of 5.4 kg. Given that 10% of boxes contain less than 18 kg. Find.
a. The value of ?.
b. The percentage of boxes that contain more than (18+4) kg. 
c. If the machine settings are adjusted so that the weight of cereal in a box is normally distributed with mean (18+3) kg and standard deviation of ?. Given that the probability of boxes contains between 18 kg and (18+6) kg is 0.9671, find the value of ?. 

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