1. Refer to Example 3. Suppose that the inspector changes her strategy and visits plant B 80% of the time. How much is Acme's average fine per day?
Refer to Example 3,
The Acme Chemical Corporation has two plants, each situated on the banks of the Blue River, 10 miles from one another. A single inspector is assigned to check that the plants do not dump waste into the river. If she discovers plant A dumping waste, Acme is fined $20,000. If she discovers plant B dumping waste, Acme is fined $50,000. Suppose that the inspector visits one of the plants each day and that she chooses, on a random basis, to visit plant B 60% of the time. Acme schedules dumping from its two plants on a random basis, one plant per day, with plant B dumping waste on 70% of the days. How much is Acme's average fine per day?
2. Refer to Example 3. Suppose that the inspector visits plant B 30% of the time. How much is Acme's average fine per day?
Refer to Example 3,
The Acme Chemical Corporation has two plants, each situated on the banks of the Blue River, 10 miles from one another. A single inspector is assigned to check that the plants do not dump waste into the river. If she discovers plant A dumping waste, Acme is fined $20,000. If she discovers plant B dumping waste, Acme is fined $50,000. Suppose that the inspector visits one of the plants each day and that she chooses, on a random basis, to visit plant B 60% of the time. Acme schedules dumping from its two plants on a random basis, one plant per day, with plant B dumping waste on 70% of the days. How much is Acme's average fine per day?
3. Suppose that two players, R and C, write down letters of the alphabet. If both write vowels or both write consonants, then there is no payment to either player. If R writes a vowel and C writes a consonant, then C pays R $2. If R writes a consonant and C writes a vowel, then R pays C $1. Suppose that R chooses a consonant 75% of the plays and C chooses a vowel 40% of the plays. What is the average loss (or gain) of R per play?