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In: Statistics and Probability

1, Find the​ Z-scores that separate the middle 59​% of the distribution from the area in...

1, Find the​ Z-scores that separate the middle 59​% of the distribution from the area in the tails of the standard normal distribution..

The​ Z-scores are

2, The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with mean 1252 and standard deviation 129 chips.

​(a) What is the probability that a randomly selected bag contains between 1000 and 1400

chocolate​ chips?

​(b) What is the probability that a randomly selected bag contains fewer than 1100 chocolate​ chips?

​(c) What proportion of bags contains more than 1200 chocolate​ chips?

​(d) What is the percentile rank of a bag that contains 1025 chocolate​ chips?

3, The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with mean 1263 and a standard deviation of 118.

​(a) Determine the 26th percentile for the number of chocolate chips in a bag.

​(b) Determine the number of chocolate chips in a bag that make up the middle 97​% of bags.

​(c) What is the interquartile range of the number of chocolate chips in a bag of chocolate chip​ cookies?

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