Quantitive Analysis Home Work

Question

a)

Company A is successful company dealing with many major projects in America.

Recently, it has submitted its biddings for two major Government projects. 

Project A worth about $120 million and the company believes it has 40% chance of securing the project.
Project B worth $1.8 billion and there is a 30% chance the company can win the project.

Both projects are indenpendent of each other.

What is the probability that the company :

1. will secure Project A or B but not both
2. will not secure Project A or will not secure Project B

b) Do you agree that "if two events are mutually exclusive then these two events will be independent"?

c) Provide one business-related example each, with explanation, for mutually exclusive and independent events.