Question

please to see the question in the image. thank you

The waste from an industrial plant is subjected to treatment before it is ejected to a nearby stream. The treatment process consists of three stages, namely, primary, secondary, and tertiary treatments. The primary treatment may be rated as good (G) incomplete () or failure treatment may also be rated as equally likely (for example, the primary treatment will be equally likely to be good or incomplete or failure). Furthermore, the performances of the three stages of treatment are statistically independent from one another a)- What are the possible combined ratings of the three treatment stages? For example, G F2G3 denotes a combination where there is a good primary and tertiary, but a failure in the secondary treatment. What is the probability of each of these combinations (or sample points)? b)- Suppose the event of satisfactory overall treatment requires at least two stages of good treatment. What is the probability of this event? c)-Suppose El-good primary treatment, E2 good secondary treatment, E,-good tertiary treatment. Determine P ( E,-), P ( E; U E2 ) and P ( En E3 ) d)- Express in terms of Ei, E2, and E the event of satisfactory overall treatment as defined in part (b). Hint: El n E2 ls part of this event

Answer 1