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A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year. a. What percentage of the employees will experience lost-time accidents in both years? b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

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BuyFindarrow_forward

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
Chapter 4, Problem 57SE
Textbook Problem
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A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 5% during the current year. In addition, it estimates that 15% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

  1. a. What percentage of the employees will experience lost-time accidents in both years?
  2. b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

a.

To determine

Compute the percentage of employees will experience lost-time accidents in both years.

Explanation of Solution

Calculation:

The given information is that the records show that 6% of the employees suffer lost-time accidents last year. The special safety programmes reduce such accidents to 5% during the current year. It is found that 15% of the employees who had lost-time accidents in the last year will experience a lost-time accident during the current year.

Define the events:

A=Experience the lost time accident in the current yearB=Experience the lost time accident in the previous year

Multiplication Rule:

For any events A and B, P(AB)=P(A|B)×P(B)

b.

To determine

Compute the percentage of employees will experience suffer at least one lost-time accident over the two year.

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Chapter 4 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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