Discuss the below:
The population mean annual salary for first year faculty at SLU is $47,000. Assuming that the population standard deviation is $1800:
1) What is the probability that one randomly selected faculty member at SLU has a salary less than $46,000 ?
2) Suppose that 10 faculty members are randomly selected. What is the probability that the mean annual salary of the example, is less than $46,000
3) Suppose that 20 faculty members are randomly selected. What is the probability that the mean annual salary of the sample is less than $46,000
4) What is the prbability that one randomly selected faculty member at SLU has a salary less than $47,000 ?