The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1175 chocolate chips? (d) What is the percentile rank of a bag that contains 1025 chocolate chips? HI (a) The probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive, is (Round to four decimal places as needed.)

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### Problem Description on Normal Distribution

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

**Questions:**

(a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive?

(b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips?

(c) What proportion of bags contains more than 1175 chocolate chips?

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

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**Solution:**

(a) The probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive, is _____.  
(Round to four decimal places as needed.)

---

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Transcribed Image Text:### Problem Description on Normal Distribution The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation of 129 chips. **Questions:** (a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) What is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) What proportion of bags contains more than 1175 chocolate chips? (d) What is the percentile rank of a bag that contains 1025 chocolate chips? --- **Solution:** (a) The probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive, is _____. (Round to four decimal places as needed.) --- **Additional Tools and Resources:** - **Help me solve this** - **View an example** - **Get more help** **Options for User Action:** - Clear all - Check answer ---
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