The weight of ground coffee being filled into a sealed glass jar by a robotic production line follows a normal distribut

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answerhappygod
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The weight of ground coffee being filled into a sealed glass jar by a robotic production line follows a normal distribut

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The weight of ground coffee being filled into a sealed glass jar
by a robotic production line follows a normal distribution with a
mean of 360 grams and a standard deviation of 8 grams. (A-1) Find
the probability that a glass jar of coffee selected randomly from
this production line will have a weight between 352 grams and 370
grams. (A-2) Find the probability that a glass jar of coffee
selected randomly from this production line will have a weight at
least 372 grams or heavier. (A-3) The production line supervisor
decides to reject jars that are too light or too heavy compared to
the mean weight of 360 grams. The supervisor uses -/+1.5 standard
deviations to determine jars are too light or too heavy,
respectively. Out of a production of 3200 jars of coffee, how many
jars will be rejected by the supervisor?
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