I need complete and brief solution for this one, especially a, b, c, etc. Pls answer. Thanks

Instruction: Sketch the following normal curve and interpret the results. Please answer what is asked per number.

1. In a certain factory of rags, the time it takes for the workers to finish one rag is normally distributed with a mean of 27 minutes and a standard deviation of 8 minutes. a. Find the percentage of rags that will be finished in less than 25 minutes b. Find the percentage of rags that will be finished in more than 33 minutes. c. Find the proportion of rags that will be finished between 19 minutes and 31 minutes. d. If 10.000 rags are produced in a day, how many are done in less than 25 minutes? 2. The scores of the students in the final examination in Advanced Algebra are normally distributed with a mean of 72 and a standard deviation of 8. a. Find the percentage of students who scored less than 60. b. Find the percentage of students who scored more than 70. c. Find the percentage of students who scored between 82 and $6. d. Above what score do you find the upper 10% of the students' scores?3. In a Calculus test, the mean score is 42 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of score is: a. Greater than 48 b. Less than 50 C. Between 30 and 48