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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