A computer-consulting firm presently has bids out on three projects. awarded project i , for i=1,2,3. Suppose that P(A)=.22, P(A,)= .25, P(A,)=.28, P(A^4,) =.1 P(A n A,) = .05, P(A,n 4,) = .07, P(A^ A,N 4,) = .01. A. Express in words each of the following events, and compute t probability of each event.
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- A national study found that treating people appropriately forhigh blood pressure reduced their overall mortality by 20%.Treating people adequately for hypertension has been difficult because it is estimated that 50% of hypertensives donot know they have high blood pressure, 50% of those whodo know are inadequately treated by their physicians, and50% who are appropriately treated fail to follow this treatment by taking the right number of pills. 2 If the preceding 50% rates were each reduced to40% by a massive education program, then what effectwould this change have on the overall mortality rate amongtrue hypertensives; that is, would the mortality rate decreaseand, if so, what percentage of deaths among hypertensivescould be prevented by the education program?When the health dept. tested private wells in a county for 2 impurities commonly found in drinking water, it found that 20% of the wells had neither impurity, 30% had impurity A, 40% had impurity B, and 10% had both impurities. If 20 wells are randomly inspected from those in the county, find the prob. that 10 had neither impurity, 4 had impurity A, 4 had impurity B,and 2 had both impurities (rounded odd to 4 decimal places).. A. 0.0001 B. 0.1011 C. 0.2900 D. 0.9990A forest consists of two types of trees: those that are 0-5 ft and those that are taller than 5 ft. Each year, 40% of all 0-5-ft tall trees die, 10% are sold for $10 each, 30% stay between 0 and 5 ft, and 20% grow to be more than 5ft. Each year, 50% of all trees taller than 5ft are sold for $40, 20% are sold for $20, and 30% remain in the forest (continue growing). If a tree (less than 5 ft) is planted, what is the expected revenue earned from that tree ? Select one:a. $11.22b. $19.80c. $14.16d. $17.44e. $16.34f. $15.51
- The process for cleaning up waste in a nuclear reactor core room eliminates 85% of the waste present in the area. If there is 1.7 kg of waste in the room at the beginning of the monitoring period and 2 kg of additionalwaste are generated each week, determine a recurrence relation and initial conditions describing the amount wn, of waste in the core room at the end of week n of the monitoring period.24 Energy of 4p subshell is higher than 3d. Select one: True FalseA forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?
- The television show Lett3rs has been successful for many years. That show recently had a share of 19, which means, that among the TV sets in use, 19% were tuned to Lett3rs. An advertiser wants to verify that 19% share value by conducting its own survey, and a pilot survey begins with 10 households have TV sets in use at the time of a Lett3rs broadcast. If at most one household is tuned to Lett3rs, does it appear that the 19% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Lett3rs unusual?) A. no, it is not wrongB. yes, it is wrongFor a particular process, originally each 200 units of product manufactured yielded 180 conforming units, 9 units that must be scrapped, and the remaining units that must be reprocessed. Each scrapped unit results in a $30 loss and each reprocessed unit requires an extra 0.30 hours of processing time. The resource time of producing the original 200 units is 30 hours. As a result of a quality improvement program that was recently introduced, for each 200 units manufactured, the process now yields 190 conforming units, 1 unit to be scrapped, and the remaining units that must be reprocessed. Calculate the scrap cost for the new process.The personnel department of a large corporation gives two aptitude tests to job applicants. From many years’ experience, the company has found that a person’s score for the first test, Y1, is normally distributed with μ1 = 50 and σ1 = 10. The scores for the second test, Y2, are normally distributed with μ2 = 100 and σ2 = 20. A composite score, Y, is assigned to each applicant, where Y = 3Y1 + 2Y2. To avoid unnecessary paperwork, the company automatically rejects any applicant whose composite score is below 375. If six individuals submit résumés, what are the chances that fewer than half will fail the screening tests? Hint: Use the fact that the sum of two independent normal random variables is also a normal random variable.