The Average Starting Salary for This Year's Graduates at a Large

question 6

Short Answer

The average starting salary for this year's graduates at a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.
a.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?
b.Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
c.What are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
d.If 189 of the recent graduates have salaries of at least $32,240, how many students graduated this year from this university?

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Definitions:

Peripheral Membrane Proteins

Proteins that are attached to the surface of cellular membranes without being embedded within the lipid bilayer, often involved in signaling pathways or cell adhesion.

Cell Membrane

The semipermeable membrane surrounding the cytoplasm of a cell, which regulates the passage of substances in and out of the cell.

Cadherins

Transmembrane proteins that are components of adhering junctions between animal cells.

Adhering Junctions

Cell-to-cell junctions that mechanically attach the cytoskeleton of a cell to that of another, playing a key role in maintaining tissue integrity.