Question
2. In the Snohomish country, Family income ~ N($25000, $1000^2 ). If the low-income level is $15,000, what percentage of the population lives under the
2. In the Snohomish country, Family income ~ N($25000, $1000^2 ). If the low-income level is $15,000, what percentage of the population lives under the low-income level? (hint: Normal distribution) (5 points)
3. The Darigold uses a filling machine to fill milk bottles with 2% milk. The milk bottles should contain 350 ml of milk. But the container will vary with a mean of 348 ml and a standard deviation of 3 ml. (10 points)
a) What is the probability that a bottle contains less than 3 ml of the original size? (5 points)
b) What is the probability that the mean of the six-pack bottles is less than 345 ml? (5 points)
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