7:42 O O A •@ X ? l 63%i6.10 Toolworkers are subject to work-related injuries. One disorder, caused bystrainsto the hands and wrists, is called carpaltunnel syndrome. It strikes as many as23,000 workers per year. The U.S. LaborDepartment estimates that the averagecost of this disorder to employers andinsurers is approximately $30,000 perinjured worker. Suppose these costs arenormally distributed, with a standarddeviation of $9,000.a. What proportion of the costs arebetween $15,000 and $45,000?b. What proportion of the costs are greaterthan $50,000?c. What proportion of the costs arebetween $5,000 and $20,000?d. Suppose the standard deviation isunknown, but 90.82% of the costs aremorethan $7,000.What would be the value ofthe standard deviation?e. Suppose the mean value is unknown, butthe standard deviation is still $9,000. Howmuch would the average cost be if 79.95%of the costs were less than $33,000?

Given: costs are normally distributed with mean = 30000 standard deviation = 9000 let X be the costs…

Answered: a. What proportion of the costs are…

a. What proportion of the costs are between $15,000 and $45,000? b. What proportion of the costs are great than $50,000? c. What proportion of the costs are between $5,000 and $20,000?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

7:42 O O A •
@ X ? l 63%i
6.10 Toolworkers are subject to work-
related injuries. One disorder, caused by
strains
to the hands and wrists, is called carpal
tunnel syndrome. It strikes as many as
23,000 workers per year. The U.S. Labor
Department estimates that the average
cost of this disorder to employers and
insurers is approximately $30,000 per
injured worker. Suppose these costs are
normally distributed, with a standard
deviation of $9,000.
a. What proportion of the costs are
between $15,000 and $45,000?
b. What proportion of the costs are greater
than $50,000?
c. What proportion of the costs are
between $5,000 and $20,000?
d. Suppose the standard deviation is
unknown, but 90.82% of the costs are
more
than $7,000.What would be the value of
the standard deviation?
e. Suppose the mean value is unknown, but
the standard deviation is still $9,000. How
much would the average cost be if 79.95%
of the costs were less than $33,000?

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