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- The cancer treatment facts and figures show that for early-stage lung cancer 71% of all patients undergo surgery and 37% of all patients receive radiotherapy as part of their treatments. Furthermore, 53% of all early-stage lung cancer patients ONLY receive surgery. What percentage of early-stage lung caner patients undergo both surgery and radiotherapy?Taxi Brand A Brand B1 41,200 42,7002 31,100 31,2003 43,600 44,6004 42,600 40,9005 41,400 41,1006 35,600 40,2007 47,000 48,2008 40,200 41,400One of your duties is the selection and disposal of boxes of obsolete files. According to regulations, ordinary files become obsolete after 24 months, confidential files after 36 months and classified files after 48 months. Which of the following boxes of files can be disposed of: A box containing ordinary files dated 26 months ago and classified files dated 34 months ago. A box containing ordinary files dated 38 months ago and confidential files dated 28 months ago.
- When looking at the data for graduate school admissions between men and women, it is shown that about 45% of men are admitted but only 38% of women. However, when the data is broken down by school it turns out that, within each school, the women are admitted at higher rates than the men. This could happen because I. The women apply in higher numbers to schools with lower acceptance rates. II. The women apply in higher numbers to schools with higher acceptance rates III. The men apply in higher numbers to schools with lower acceptance rates IV. The men apply in higher numbers to schools with higher acceptance ratesAn insurance company offers four different deductible levels—none, low, medium, and high—for its homeowner's policyholders and three different levels—low, medium, and high—for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Homeowner's Auto N L M H L 0.04 0.07 0.05 0.04 M 0.07 0.09 0.20 0.09 H 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (a) What is the probability that the individual has a medium auto deductible and a high homeowner's deductible?(b) What is the probability that the individual has a low auto deductible? A low homeowner's deductible? auto deductible homeowner's deductible (c) What is the probability that the individual is in the same…An insurance company offers four different deductible levels—none, low, medium, and high—for its homeowner's policyholders and three different levels—low, medium, and high—for its automobile policyholders. The accompanying table gives proportions for the various categories of policyholders who have both types of insurance. For example, the proportion of individuals with both low homeowner's deductible and low auto deductible is 0.07 (7% of all such individuals). Homeowner's Auto N L M H L 0.04 0.07 0.05 0.01 M 0.07 0.08 0.20 0.13 H 0.02 0.03 0.15 0.15 Suppose an individual having both types of policies is randomly selected. (d) Based on your answer in part (c), what is the probability that the two categories are different?(e) What is the probability that the individual has at least one low deductible level?(f) Using the answer in part (e), what is the probability that neither deductible level is low?
- A software organisation employs 80,000 staff members. 16,000 employees are inthe sales team, 24,000 are in the customer support team and 14,000 are in thesoftware development and HR departments. What percentage of theorganisation’s employees are a part of the finance team, if the size of the financeteam makes up two-fifths of the remainder?A diabetic patient needs at least 40 units of Vitamin A, at least 30 units of Vitamin C and at least 30 units of Vitamin E each day. Each brand X multivitamin capsule contains 4 units of A, 6 units of C and 2 units of E; each brand Y capsule contains 5 units of A, 3 units of C and 5 units of E. If eachbrand X capsule costs Php 6.00 and each brand Y costs Php 9.00, how many capsules should the patient take each day to minimize the cost?Here are the countries with the five highest estimated costs of software piracy: United States ($9.1 billion), China ($8.7 billion), India ($2.7 billion), France ($2.1 billion), United Kingdom ($1.9 billion). Among these five countries, the United States has 37.1% of the cost of piracy. Is it correct to conclude that the United States has 37.1% of the total cost of piracy for all countries? What do these results tell us about the costs of piracy in the other countries not included here?
- The permanent residence of adults aged 18-25 in the U.S. was examined in a survey from the year 2000. The survey revealed that 27% of these adults lived alone, 32% lived with a roommate(s), and 41% lived with their parents/guardians. In 2008, during an economic recession in the country, another such survey of 1600 people revealed that 398 lived alone, 488 lived with a roommate(s), and 714 lived with their parents. Is there a significant difference in where young adults lived in 2000 versus 2008 and state the p-value? Test with a Goodness of Fit test at α=0.05. Alone Roommates Parents/Guardians Observed Counts 398 488 714 Expected Counts 432 512 656A researcher wishes to compare the effectiveness of group therapy to placebo “antidepressants” (i.e., sugar pills that people think are antidepressants) on negative feelings associated with break-ups. He finds 22 people who went through a break-up in the last 2 weeks. He places half of them in a therapy group that meets every day for 2 weeks. He gives the other half the sugar “antidepressant” (placebo) every day for the same time. Unfortunately, he soon discovers that two participants from the Group Therapy session are now dating each other. Because he is worried that their data will not be representative of the effects of group therapy, he decides to remove their data from that sample. So now, the Group Therapy sample only includes 9 participants. The researcher thought that the effects of Group Therapy might be different from those of Placebo antidepressants, but he is not sure how. At the end of the 2 weeks of treatment, he asks all participants to rate their negative feelings on a…A confectioner sells two types of nut mixtures. The standard-mixture package contains 100 g of cashews and 200 g of peanuts and sells for $1.70. The deluxe-mixture package contains 150 g of cashews and 50 g of peanuts and sells for $2.25. The confectioner has 15 kg of cashews and 20 kg of peanuts available. On the basis of past sales, the confectioner needs to have at least as many standards as deluxe packages available. How many bags of each mixture should he package to maximize his revenue?
