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Answer:
The probability is 0.003
Step-by-step explanation:
We know that the average is:
The standard deviation is:
The Z-score is:
We seek to find
For P(x>800) The Z-score is:
The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
For P(x<200) The Z-score is:
The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
Therefore
It is given in the question that cost of pork is $7.99/kg.
It means cost of 1 kg pork is $7.99.
Cost of 2 kg of pork is
And cost of 3 kg of pork is
Therefore cost of 3.5 kg of pork is