1.3 The monthly salaries of the employees at Lyman Limited follow a normal distribution with an average salary of R 14 000 and a standard deviation of R 500. a) What percentage of employees get paid between R 13 000 and R 15 500? b) If a female employee claims to be in the top 10% of highest paid employees at the company, what must be her minimum monthly salary?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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Quality assurance is an important aspect of any business. This case study is based on Lyman Limited, a
company that manufactures and sells office furniture. They obtain their parts (hinges, chair wheels, etc.) from
three different suppliers, A, B and C. Past experience has shown that 20% of the parts are supplied by A, 50%
are supplied by B and the rest are supplied by C. It is also known that 10% of the parts supplied by A are defect,
8% of the parts from B are defect and 6% of the parts from C are defect.
Transcribed Image Text:Quality assurance is an important aspect of any business. This case study is based on Lyman Limited, a company that manufactures and sells office furniture. They obtain their parts (hinges, chair wheels, etc.) from three different suppliers, A, B and C. Past experience has shown that 20% of the parts are supplied by A, 50% are supplied by B and the rest are supplied by C. It is also known that 10% of the parts supplied by A are defect, 8% of the parts from B are defect and 6% of the parts from C are defect.
1.3 The monthly salaries of the employees at Lyman Limited follow a normal distribution with an average salary
of R 14 000 and a standard deviation of R 500.
a) What percentage of employees get paid between R 13 000 and R 15 500?
b) If a female employee claims to be in the top 10% of highest paid employees at the company, what
must be her minimum monthly salary?
Transcribed Image Text:1.3 The monthly salaries of the employees at Lyman Limited follow a normal distribution with an average salary of R 14 000 and a standard deviation of R 500. a) What percentage of employees get paid between R 13 000 and R 15 500? b) If a female employee claims to be in the top 10% of highest paid employees at the company, what must be her minimum monthly salary?
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