The speeds of vehicles on a highway with speed limit 90 km/h are normally distributed with mean 101 km/h and standard deviation 6 km/h. (Round your answers to two decimal places.) (a) What is the probability that a randomly chosen vehicle is traveling at a legal speed? % (b) If police are instructed to ticket motorists driving 115 km/h or more, what percentage of motorist are targeted? %
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- Ans is 0.71 dont know how?Determine whether or not to stock a large supply of steel. There is uncertainty in the price of steel. Based on past history the following data are available Price (future) Prob (Price) PW if stocked PW if not stocked High 0.3 100000 0 Medium 0.5 -10000 0 Low 0.2 -50000 0 What is the probability that stocking steel will result in a negative present worth (PW)?It's not -10 or 10
- Answer question 6D onlyThe frequency of breakdown of a machine per month is shown in the table. The cost ofa breakdown is $1,000 and the cost of preventive maintenance is $1,250 per month. Ifpreventive maintenance is performed, the probability of a machine breakdown is negligible. Should the manager use preventive maintenance, or would it be cheaper to repair themachine when it breaks down?Number of breakdowns 0 1 2 3Frequency of occurrence .20 .30 .40 .10The data from 200 machined parts are summarizedas follows:y yesdepth of boreE, noabovebelowedge conditioncoarsetarget15target10moderatesmooth25205080(a) What is the probability that a part selected has a moderateedge condition and a below-target bore depth?(b) What is the probability that a part selected has a moderateedge condition or a below-target bore depth?(c) What is the probability that a part selected does not have amoderate edge condition or does not have a below-targetbore depth?(d) Construct a Venn diagram representation of the events inthis sample space.
- Please no written by hand A bank has two $10 million one-year loans. Possible outcomes are as follows: Outcome Neither loan defaults Loan 1 defaults, loan 2 does not default Loan 2 defaults, loan 1 does not default Both loans default Probablity 97.5% 1.25% 1.25% 0.00%.If a default occurs, losses can use normal distribution with mean $5 million and standard deviation $1 million to approximate. If a loan does not default, a profit of $0.2 million is made. (a). What is the VaR for of each project when the confidence level (a). What is the VaR for of each project when the confidence level is 99%? (b). What is the expected shortfall of each project when the confidence level is 99%? (c). What is the VaR for a portfolio consisting of the two investments when the confidence level is 99%?) (d). What is the expected shortfall for a portfolio consisting of the two investments when the confidence level is 99%?They need to be probabilities and there should be six answer 1-a-b etcABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (B) Economic Order Quantity4. What is the annual demand for the boxes of candles?5. How much is the carrying cost of one box of candles for one year?6. What is the economic order quantity for the boxes of candles? Round UP.7. How many orders will be made per year on average if the economic order quantity was followed? Round off totwo decimal places.8. How much…
- A decision has been made to perform certain repairs on the outlet works of a small dam. For a particular 36-inch gate valve, there are three available alternatives: A. Leave the valve as it is. B. Repair the valve. C. Replace the valve. If the valve is left as it is, the probability of a failure of the valve seats, over the life of the project, is 60%; the probability of failure of the valve stem is 50%; and of failure of the valve body is 40%. If the valve is repaired, the probability of a failure of the seats, over the life of the project, is 40%; of failure of the stem is 30%; and of failure of the body is 20%. If the valve is replaced, the probability of a failure of the seats, over the life of the project, is 30%; of failure of the stem is 20%; and of failure of the body is 10%. The present worth of cost of future repairs and service disruption of a failure of the seats is $10,000; the present worth of cost of a failure of the stem is $20,000; the present worth of cost of a…The demand for a product of Carolina Industries varies greatly from month to month. The probability distribution in the following table, based on the past two years of data, shows the company's monthly demand. Unit Demand Probability 300 400 500 600 0.20 0.30 0.35 0.15 (a) If the company bases monthly orders on the expected value of the monthly demand, what should Carolina's monthly order quantity be for this product? (b) Assume that each unit demanded generates $70 in revenue and that each unit ordered costs $50. How much will the company gain or lose in a month (indoitars) if it places an order based on your answer to part (a) and the actual demand for the item is 300 units?80. Gridiron University is a private university. A successful alumnus has recently donated $1,000,000 to Gridiron for the purpose of funding a "center for the study of sports ethics." This donation is condi- tional upon the university raising matching funds within the next 12 months. The university administra- tors estimate that they have 50% chance of raising the additional money. How should this donation be ac- counted for? a. As a temporarily restricted support. b. As unrestricted support. c. As a refundable advance. d. As a memorandum entry reported in the footnotes.