N fair 8-sided dice are independently cast. What is the expectation .pdf

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N fair 8-sided dice are independently cast. What is the expectation value for the sum of all the top spots showing? What are the variance and standard deviation of the sum of all the top spots showing? Solution For one roll, the average is (1+2+3+4+5+6+7+8)/8 = 36/8 = 9/2 For one roll, E(x^2) = (1+2^2+3^2+4^2+5^2+6^2+7^2+8^2)/8 = 51/2. var(x) = E(x^2) - (E(x))^2 = 51/2 - (9/2)^2 = 51/2 - 81/4 = 21/4 The standard deviation is sqrt(var) = sqrt(21)/2 Then, if there are N fair die independently cast, E(the sum of N die) = 9/2 N variance sums with independence var(the sum of N die) = 21/4 N Then, standard deviation of the sum of N die = sqrt(21N/4) or sqrt(21N)/2.

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Name the type of modulation used in most passive tags(RFID). Solution Radio frequency identification (RFID) system is used to identify the locate and track peoples assets. In this few types of modulation techniques used for easy tracking and for promptness. Those are Amplitude modulation for loading the readers transmitted and provides a communication path back to the reader. Further used Data modulation technique’s or encoder technique’s..

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Name that test! A researcher is interested in discovering whether or not there is a relationship between supervisor support and burnout. He collects data from a random sample of individuals who self-report their levels of perceived supervisor support (on a scale of 1-5) and burnout (on a scale of 1-5). Which statistical test is most appropriate for this researcher to use? a. independent samples t-test b. Chi-square c. ANOVA d. None of these e. Matched pairs t-test f. regression g. correlation Solution The role of developmental services workers (DSWs) is undergoing major changes. Fewer people are entering the occupation, and at the same time, those currently in the occupation are leaving at increasing rates, presumably due to high stress levels and burnout. Some reasons for this phenomenon are the type of work preformed by DSWs (providing personal/emotional care) and working conditions (shift work, part-time, low wages). This research used field observation at locations within a developmental services agency and semi-structured interviews with five participants working in the developmental services field, including front line staff and management. The participants were asked to identify job challenges and gather opinions/suggestions for improving low retention rates and high burn out rates. The participants spoke about ways to improve the quality of care provided to people with developmental disabilities. Although this is a very small sample, all of the participants were aware that burnout rates are quite high for DSWs. The opinions of front line workers and management reflect the similarities and minor differences between these groups. The participants believe burnout can be reduced and retention improved by: increasing pay rates, improving working hours, creating safer work conditions, increasing support from management, ensuring staff have an interest in vulnerable populations, and increasing the availability of meaningful training. Development Services Workers (DSWs) are specially trained individuals who provide personal care and non- professional services to people with developmental disabilities. Even though these individuals provide an important service that greatly improves the quality of life for people with developmental disabilities, it is becoming increasingly difficult to recruit and retain DSWs. This research examines the role of the DSWs and attempts to identify some of the factors that contribute to the declining ability to attract individuals to this type of employment, and the factors that make it difficult to retain individuals in this field. The importance of the level of service provided by DSWs to individuals with developmental disabilities reinforces the need to ensure this field of service remains viable and attractive to individuals seeking a career in personal care. This research also provides some recommendations for changes that will improve recruitment and retention of DSWs. Ontario has a long history of providing .

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name some common of cross-sectional surveys objectives? Solution Cross-sectional studies (also known as cross-sectional analyses, transversal studies, prevalence study) form a class of research methods that involve observation of all of a population, or a representative subset, at one specific point in time. They differ from case-control studies in that they aim to provide data on the entire population under study, whereas case- control studies typically include only individuals with a specific characteristic, with a sample, often a tiny minority, of the rest of the population. Cross-sectional studies are descriptive studies (neither longitudinal nor experimental). Unlike case-control studies, they can be used to describe, not only the Odds ratio, but also absolute risks and relative risks from prevalences (sometimes called prevalence risk ratio, or PRR).[1][2] They may be used to describe some feature of the population, such as prevalence of an illness, or they may support inferences of cause and effect. Longitudinal studies differ from both in making a series of observations more than once on members of the study population over a period of time..

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Name and describe the four major sets of variables that might be used in segmenting healthcare consumer markets. Solution The four major sets of variables that might be used in segmenting consumer markets for every industry including the healthcare consumer markets are as follows: 1. Geographic: This variable consisits of matters of location, population, density, climate etc.In a healthcare consumer market the geographical factors like the population and climate of the place near the healthcare facility effects the consumer market as it should be located where maximum people can come for there services. 2. Demographic: They are the variables like age, gender, occupation, religion or income. Healthcare facility should be located where there are elderly people living as they will need the services more and if high income group people are living near by then the facility can generate generous amount of profits. 3. Psychographic: They are the variables like personalities, lifestyles, or social class.All these variables matter a lot to any of the consumer markets. 4. Behavorial: A behavioral variable would be something for a special occasion, benefits, loyalty status, or usage rate..

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Name and explain briefly the TWO ways in which GDP may be calculated. Solution GDP represents the total dollar value of all goods and services produced over a specific time period. In short, it\'s everything produced by people and businesses, including salaries of workers. The two ways in which GDP can be calculated are: Expenditures Approach: This method uses the adding up all the expenditure done by the people and government GDP = C + I + G + (X-M), where consumption (C), investment (I), government spending (G) and net exports (X – M) Income Approach: In this method the income of all the people and government is added NI = W + R + i + PR, where Labor Income (W) Rental Income (R) Interest Income (i) Profits (PR).

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N persons stand on the circumference of a circle at distinct points. Each possible pair of persons, not standing next to each other, sings a two-minute song one pair after the other. If the total time taken for singing is 28 minutes, what is N? Solution Each person will form a pair with all other persons except the two beside him. Hence he will form (n – 3) pairs. If we consider each person, total pairs = n (n – 3) but here each pair is counted twice. Hence actual number of pairs = n(n – 3)/2 They will sing for × =n(n – 3)x2/2 n(n–3) min Hence n(n –3) = 28 n^2 – 3n – 28 = 0 n = 7 or – 4 Discarding the –ve value: n = 7.

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n a study reported in the September 24, 2007, of Archives of Internal Medicine, German researchers described a study conducted on 1162 German adults suffering from chronic low-back pain. These subjects were randomly assigned to one of three groups: real acupuncture, sham acupuncture, or conventional therapy. Researchers found that 47% of subjects in the real acupuncture group improved compared to 44% in the sham acupuncture group and 27% in the conventional therapy group. b) Report the appropriate degrees of freedom for this test. Solution df = 1162 - 1 = 1161.

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