= P(B| A) = 7 find P(A and B) = 20' 5 2. 3 12 P(B) = Р (А аnd B) : 4 find P(A | B) = 25 3. P(B) = 0.5, P(A and B) = 0.2475, find P(A | B) 4. P(A) = 0.5, P(B | A) = 0.35, find P(A and B) %3D
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- During a nationwide program to immunize thepopulation against a new strain of the flu, pubic health officials determined that the cost of inoculating x% of the susceptible populatioin would be approximately C(x) = 1.85x/ 100-x million dollars. a. suppose 17 million dollars are available for providing immunication. What percentage of the sesceptible population will not receive immunization? b. If money was not a problem will they be able to provide immunization to the entire susceptible population?Lennard is deciding whether to purchase a wireless speaker from a major online retailer. He looks at the reviews for the speaker and notices that out of 100 reviews posted (with possible range of 1−5 stars), 99 reviews are 4 or 5 stars and only 1 review is 1 star-rated. He does, however, notice that the 1 star-rated review was posted very recently - just over the past few weeks. Nevertheless, the average overall rating for the product is 4.7 and Lennard decides to purchase the speaker. Why is the average review statistic misleading in this case?A house is purchased for $140,000 in January 2004. A year later, the house next door is sold for $149,800. The two houses are of the same style and size and are in similar condition, so they should have equal value.Use the model v = 140e0.0676586485t, where t is the number of years after January 2004 and v is the value in thousands of dollars, to predict when the house would be worth $290,000.
- John Swanson, president of Market Research Inc., has asked you to estimate the coefficients of the modelY = β0 + β1X1 + β2X21 + b3X2where Y is the expected sales of office supplies for a large retail distributor of office supplies, X1 is the total disposable income of residents within 5 miles of the store, and X2 is the total number of persons employed in information-based businesses within 5 miles of the store. Recent work by a national consulting firm has concluded that the coefficients in the model must have the following restriction:b1 + b2 = 2Describe how you would estimate the model coefficients using least squares.A company wants to increase the 10% peroxide content of its product by adding pure peroxide. If x liters of pure peroxide are added to 500 liters of its 10% solution, the concentration, C, of the new mixture is given byHow many liters of pure peroxide should be added to produce a new product that is 28% peroxide?A farmer wishes to determine which of two brands of baby pig pellets, Kent or Moormans, produces better weight gains. Two of his sows each give birth to litters of 10 pigs on the same day, so he decides to give the baby pigs in litter A only Kent pellets, while the pigs in litter B will get only Moormans pellets. After 4 weeks , the average weigh tgain for pigs in litter A is greater than the average weight gain for pigs in litter B. The feed they get is not the only factor affecting the rate at which pigs gain weight. Genetic differences also affect weight gain. It is likely that the pigs in litter A are genetically different from the pigs in litter B since the two litters have different mothers. What experimental design technique could the farmer use to take into account the genetic differences? A)placebo B) probability sampling C)Blocking D)observational study E)double-blinding
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- You are considering purchasing a carpet cleaning business that will cost $40,000 for startup. Being a detail-oriented entrepreneur, you have looked into the performance of other franchises for this company and have found the following. 35% of the franchises close after one year with a net loss of $48,000. 30% of the franchises continue to operate but have a net profit of only $24,000. 35% of the franchises are doing quite well with a net profit of $100,000 in their first year. If you are only concerned with the first year’s outcomes, what Is the expected value of the franchise?The population, P, of the city of Hazelton has grown according to the mathematical model P = 65,000(1.075)*, where t is the number of years since 2005. a) At what percentage is the population growing? b) If this trend continues, during which year will the population reach approx. 100,000?From 1950 through 2005, the per capita consumption C of cigarettes by Americans (age 18 and older) can be modeled by C = 3565.0 + 60.30t − 1.783t2, 0 ≤ t ≤ 55, where t is the year, with t = 0 corresponding to 1950. In 2005, the U.S. population (age 18 and over) was 296,329,000. Of those, about 59,858,458 were smokers. What was the average annual cigarette consumption per smoker in 2005? What was the average daily cigarette consumption per smoker?