Suppose a manufacturer finds that 95% of their production is normal but the final 5% has one or more flaws. Each flawed good has a financial cost to the firm of $1. The manufacturer tasks a team led by you, the manager to identify the likelihood of upcoming flaws by providing your best expectation. Here is what you found by reviewing past production.

Of the flawed goods:

80% show Type 1 flaws.

50% show Type 2 flaws.

30% show both Type 1 and Type 2 flaws.

1. Make a Bivariate Table using the above data.

2. What is the probability and expectations of type 1 flaw?

3. What is the probability and expectation of Type 2 flaw?

4. What is the probability and expectations of Type 1 and 2 flaws?

5. What is the probability and expectations of no flaws?