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- The Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?4. Movements along versus shifts of demand curves Consider the market demand for chicken wings. Complete the following table by indicating whether an event will cause a movement along the demand curve for chicken wings or a shift of the demand curve for chicken wings, holding all else constant. Event An increase in income of consumers An increase in the price of burgers (a substitute for chicken wings) An increase in the price of chicken wings Movement Along Shift OSuppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released into the air in a laboratory. If the resulting radiation level is 30% above the safe level, how long should the laboratory remain vacated? (Hint: To start with, determine what fraction of the "resulting radiation level" is the maximum safe level.) The laboratory should remain vacated for days.
- 6. A small company can employ 3 workers. Each worker independently stays on the job for an exponentially distributed time with a mean of one year and then quits. When a worker quits, it takes the company an exponentially distributed time with a mean of 1/10 of a year to hire a replacement for that worker (independently of how long it takes to replace other workers). If the company takes in $1000 per day in revenue when it has 3 workers, $800 per day when it has 2 workers, and $500 per day when it has 0 or 1 workers, what is the company's long-run average daily revenue?What does February 2020’s actual warehouse club sales value tell us about the strength of this model to extend past the ten years covered in the scatterplot? 7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?
- 4. Suppose that sodium pentobarbitol is used to anesthetize a dog. The dog anesthetized when its bloodstream contains at least 40 mg of sodium pentobarbitol per kg of the dog's weight. Suppose that the sodium pentobarbitol is eliminated exponentially from the dog's bloodstream with a half-life of 6 hours. What single dose should be administered in order to anesthetize a 55- kg dog for 2.25 hours?A person wants to earn the profit of $200,000 from his three goods next year. Product A gives him a profit of $100 and has an expected growth of 10% per year. Product B provides a profit of $200 and has an expected growth of 5% per year. Product C provides a profit of $150 and has an expected growth of 8% per year. The person plans to sell two times of product C as of product B. If the person estimated a total growth of 12% per year in his profits, how many of each product should the person sell in a year? the answer is A: 1931, B: 14, C: 28Suppose a system is made up of two components that function independently. The components are connected in parallel. One of the components lifetime in days can be expressed by an exponential distribution with A = 0.1. The second component has a lifetime that can be expressed as a lognormal distribution with u = 2.3 and o = 0.1. What is the reliability of the system at 11 days? .5579 .9454 .4421 .0545
- A popular social media platform has begun offering stock shares to the public. In the past 2 years, the price of the stock has generally increased. An investment specialist gathers data on the stock price over the past 2 years and proposes two models for estimating the growth of the stock, as shown in the scatterplots. Based on the scatterplots, which type of model is most suitable for estimating the stock price? O A power model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. O A linear model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship. log(Stock Price) vs. Weeks 2.28 O An exponential model is suitable because the scatterplot of log(weeks) against log(stock price) shows a curved relationship. 2.26 2.24 2.22 22 P2.18 2 16 * 214 212 21 2.08 O An exponential model is suitable because the scatterplot of weeks against log(stock price) shows a strong linear relationship. Mark…The Striket Riche Company has begun drilling for oil. It anticipates 130 hour of drilling time before reaching the oil. Experience has shown that the drill bits it uses in this type of rock formation have a lifetime that is lognormal with tmed = 2 hr and s=0.91. The company currently has 35 drill bits available. What is the probability of striking oil before it runs out of bits?