Refer to the Process Safety Progress (Dec., 2004) study of industrial accidents caused by management system failures, Exercise 3.78 (p. 127). The table listing the four root causes of system failures (and associated proportions) is reproduced below. Suppose three industrial accidents are randomly selected (without replacement) from among all industrial accidents caused by management system failures. Find and graph the probability distribution of Y, the number of accidents caused by Engineering and Design failure.

Data from Exercise 3.78

Refer to the Process Safety Progress (Dec. 2004) study of 83 industrial accidents caused by management system failures, Exercise 2.6 (p. 27). A summary of the root causes of these 83 incidents is reproduced in the table next table.

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Cause Category Proportion Engineering & Design 32 Procedures & Practices .29 Management & Oversight 27 Training & Communication .12 Total 1.00