3. Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,500. a. If ONE teacher is randomly drawn from this...

Extracted text: 3. Salaries for teachers in a particular elementary school district are normally distributed with a mean of $44,000 and a standard deviation of $6,500. a. If ONE teacher is randomly drawn from this population what is the probability their salary is less than $40,000? b. If 10 teachers are randomly selected from this population, find the probability that their mean salary is between $45K and $46K. c. If we didn't know the nature of the original distribution would we be able to calculate the probability in part b? Support your answer.