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1. The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is normally...

1. The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is normally distributed with a mean of 1200 chips and standard deviation 30 chips. A sample with 36 similar bags was collected. ​​Find the right boundary of the numbers of chocolate chips in such sample that make up the middle 95​% of bags.

2. The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is normally distributed with a mean of 1200 chips and standard deviation 30 chips. A sample with 36 similar bags was collected. What is the probability that mean of the samples is between 1185 and 1220 chocolate​ chips?

3. The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is normally distributed with a mean of 1200 chips and standard deviation 30 chips. A sample with 36 similar bags was collected. There are about 35% samples like this one contain the sample mean more than x chocolate​ chips. Find x.

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