A manufacturer, who produces medicine bottles, finds that 0.1% of the bottles are defective. The bottles are packed in boxes containing 500 bottles. A drug manufacturer buys 100 boxes from the producer of bottles. Using Poisson distribution, find how many boxes will contain: (1) no defective, and (2) at least two defectives. [Given e-0.5 =0-6065]
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- JUST ANSWER SUBPART 1 There are two individuals, Individual A and Individual B. Individual A has an income (Y) of 500 million Rupiah per year. If Individual A is sick, he will lose 25% of his income. Meanwhile, Individual B has an income (Y) of 100 million Rupiah per year, and if Individual B is sick, he will lose 75% of his income. The probability of Individual A and Individual B being sick is the same, which is 10%. If the satisfaction level of Individual A and Individual B is determined by their income level, based on the following function U(Y)=ln Y, would Individual A and Individual B prefer not to have health insurance? Explain Faced with fair actuarially insurance, how much premium is offered to Individual A? Is the premium rate offered the same for Individual B? Explain with the support of graphic illustrations. The government decides to provide compulsory health insurance with a premium rate for Individual A and Individual B, which is 2% of the income of each individual. In…5 Historical data indicates that only 35% of cable customers are willing to switch companies. If a binomial process is assumed, then in a sample of 12 cable customers, what is the probability that between 3 and 5 (inclusive) customers are willing to switch companies? (Use TI 84 and round answer to at least 3 decimal places)Suppose that there are two types of workers: high and low. Employers cannot distinguish between different types during an interview. Employers value high type at $200,000 and low type at $100,000. Employers are in a competitive market (i.e. zero profit applies). High type workers have a reservation wage of 140,000 and low type workers have a reservation wage of 80,000. Suppose that 50% of all workers are high type. The productivities, reservation wages, and the probabilities are common knowledge). What wage would the employers offer? Please explain the solution!
- ADVERSE SELECTIONSomet Health Insurance Company wants to sell a health insurance product for $700 permonth. There is no requirement for healthy people to have insurance coverage. Thecompany conducts a survey to see how different populations respond to the proposed cost.People with no illnesses and disabilities, generally the young and healthy, respond that theydo not spend $700 on healthcare in an entire year, and most feel they would not waste somuch money on premiums when the chance of needing surgery or expensive healthcaretreatments is so small. However, older, sicker people think that $700 per month is a greatdeal, as most of them spend far in excess of this amount on healthcare. It seems like agreat deal for them. What will happen to the costs of the health insurance if only the older, sicker peopleenroll?A few minutes ago, Joe Doe learned that his company was having a bad year and thus merit salary increases will be smaller than expected. His division’s budget has been set and so he knows that he will receive a salary increase of $400 over his present salary. Joe Doe has also been offered a transfer to another division in the company. He is unsure of the salary situation in the other division. However, his best information leads him to conclude that if he took the new job, there is a 60% chance that he would receive a salary increase of $600 over his present salary, and a 40% chance that he would receive only a $150 increase over his present salary. To summarize, Joe Doe can either stick with his current job and get a salary increase of $400, or take a transfer to a new job and get a salary increase of either $600 with a 60% probability, or $150 with a 40% probability. Amount ($X) Value (v($X)) $0 -5 $150 -2.5 $200 -2 $300 0 $350 0.5 $400 1 $600 1.85…You are modeling a qualitative variable that takes on two classes (classes 1 and 2). In trying to classify observation 11 (out of 20) you compute the conditional probability for class 1 as 0.51. How would you classify this observation?
- Please do not give solution in image format thanku Two Manufacturers supply food to a large cafeteria. Manufacturer A supplies 40% of the soup served in the cafeteria, while Manufacturer B supplies 60% of the soup that is served. 3% of the soup cans provided by Manufacturer A are found to be dented, while 1% of the cans provided by Manufacturer B are found to be dented. Given that a can of soup is dented, find the probability that it came from Manufacturer B.According to a recent Wall Street Journal article, about 2% of new US car sales are electric vehicles (data from Edison Electric Institute reported by Jinjoo Lee, "Peak Oil? Not This Year. Or This Decade," January 9, 2021 pg. B12). Suppose a company has 111 employees who drive new cars (separately) to work each day. What is the probability that at least one of them will drive an electric car? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.A film distribution manager calculates that 9% of the films released are flops. If the manager is right, what is the probability that the proportion of flops in a sample of 506 released films would differ from the population proportion by greater than 3%? Round your answer to four decimal places.
- Q.6. Use the binomial distribution in which n = 6 and p = 0.3 to calculate the following probabilities: (a). x is at most 1. (b). x is at least 2. (c). x is more than 5. (d). x is less than 6. Solve all questionsA restaurant manager classifies customers as regular, occasional, or new, and finds that of all customers 50%, 40%, and 10%, respectively, fall into these categories. The manager found that wine was ordered by 70% of the regular customers, by 50% of the occasional customers, and by 30% of the new customers.a. What is the probability that a randomly chosen customer orders wine?b. If wine is ordered, what is the probability that the person ordering is a regular customer?c. If wine is ordered, what is the probability that the person ordering is an occasional customer?31 You see a TV commercial that states that “seven out of ten physicians surveyed prefer the ingredients in pain reliever X to plain aspirin.” You write the company because you are curious about the survey, and to your amazement, you find that the survey was of exactly ten physicians. Suppose the population of physicians was indifferent as to the advertised product and plain aspirin, that is, 50% preferred aspirin and 50% preferred the advertised product. What is the probability that a survey of ten randomly selected physicians would find seven or more who preferred the advertised product? a 0.0619 b 0.1031 c 0.1719 d 0.2265