## Question

###### Problem [ (30 points)The population mean for the average weigh of 12 year old children is [ 2 pounds and the population standard deviation is 40. A random sample of 50 drawn from population Find the probability that the sample taken will have the average weight of the children will be between |40 and /14. What is the probability that the variance for the sample will be between 120 and 200?

Problem [ (30 points) The population mean for the average weigh of 12 year old children is [ 2 pounds and the population standard deviation is 40. A random sample of 50 drawn from population Find the probability that the sample taken will have the average weight of the children will be between |40 and /14. What is the probability that the variance for the sample will be between 120 and 200?

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