Reference no: EM132847736

Below are 4 different career levels. As a person moves up in career level, their salary increases.

Level 0: Individual Contributor

Level 1: Manager/Supervisor level

Level 2: Director level

Level 3: Executive level

The table below shows the percentage of males (age 45 or higher) that are at the following career levels:

x P(x)

0 43.9%

1 36.1%

2 9.4%

3 10.6%

(a) Find the average career level for males in this age group. Give your answer to at least 2 decimal places.

(b) Find the standard deviation in career level for males of this age group. Give your answer to at least 2 decimal places.

The table below shows the percentage of females (age 45 or higher) that are at the following career levels:

x P(x)

0 61%

1 29.3%

2 7.4%

3 2.3%

(c) Find the average career level for females in this age group. Give your answer to at least 2 decimal places.

(d) Find the standard deviation in career level for females of this age group. Give your answer to at least 2 decimal places.

The values in the tables are slightly different than the actual values, so that each student gets a different problem. The actual values are given in the document linked here in the section titled "THE GENDER PAY GAP WIDENS WITH CAREER PROGRESSION". Use this document to answer the following questions:

(e) What is the actual percentage of females that are 45 or older and still at the "individual Contributor" level? % Give answer as a percent.

(f) While the percentage of men that are at the Director Level raises from 7% (age 30 to 44) raises to 11% (age 45 or older), the percentage of females at the Director Level is at 8% (age 30 to 44) and at what percent at age 45 or older? % Give answer as a percent.