A vacuum cleaner has four height settings and a sensor (on or off) t.pdf

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A vacuum cleaner has four height settings and a sensor (on or off) that detects debris. There are five rooms and in each, the carpet may be clean or not. If you only have one vacuum cleaner, how many configurations are possible, each stating the vacuum height, sensor setting, room in which the vacuum is in, and the carpet’s condition. For instance, the configuration ( its sensor is on and is in Room 3 whose carpet is clean. Solution Height 1 x 5 rooms x 4 options (on dirty,off dirty,on clean, off clean)=20 Same for height 2thur4 so 20x4= 80.

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a universities leadership council is made up of 10 members: 4 are students, 3 are teachers, and 3 are deans A newspaper reporter is planning to select two of the council members for interviews the first member will be chosen at random, and then the second member will be chosen at random from the remaining members What is the probiba;ity that two students will be selected Report your answer as an exact fraction Solution p= 4/10 x 3/9 = 2/15.

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A Type I error is defined as the following. 1- rejecting a false null hypothesis 2- rejecting a true null hypothesis 3- failing to reject a false null hypothesis 4- failing to reject a true null hypothesis Solution Defintion of Type-I error: A type I error, also known as an error of the first kind, occurs when the null hypothesis (H0) is true, but is rejected. hence the answer will be 2) rejecting a true null hypothesis..

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A twenty-five-year-old, single American manager has just accepted a transfer to a job in China. She is excited about going to China, as she has never been there before. After all, she loves Chinese food! You have been asked to prepare her for the cultural aspects of this new job assignment. FIRST, research China in terms of culture and business practices. Consider the adjustment that this young manager will have to make and assume that she will be supervising local employees and doing business with Chinese companies. THEN, create a training plan for this employee. What training should she receive before she leaves, and what should she learn after her arrival in China? Incorporate your assessment of the key success factors for this individual (i.e., the things she needs to know to ensure that she can perform well in this unfamiliar environment). Be sure to identify specific training methodologies and content for this training plan. Also, discuss at least three potential problems that she might have in her transition and how you would address them. Solution Cultural differences between both the countries are listed below: Americans prefer the individualist culture as they value self-reliance. Contrary to this Chinese prefer group cooperation. Americans utilize informal and egalitarian approach in their social relationships. While Chinese believe in strict hierarchical and formal model. In the US people avoid interpersonal relationships and long-term obligations. Contrary to this, Chinese prefer relationships with reciprocal obligation. Americans sincerely follows the written rules and regulations; while Chinese largely focus on personal relationships rather than written policies. Difference in Cognitive process or thinking patterns of both the countries is elaborated below: China’s initiative thinking pattern and problem solving techniques specify that various paths could reach the same targets and in reality no path is dissimilar from others since all paths comes under mutually defining flattering association. This approach reflects the subjective and accommodative cultural style of interaction in China. The rational thinking model of the US is comprised of linearity, objectivity, justification and manipulation in the process of interaction. In the US, the instinctive approach to thinking with delicate and indirect expression style is dictated by axiological agreement. Due to huge cultural gap, the American manger should receive the following training before she leaves for China: Cross cultural training that focus on the culture and values of Chinese culture Diversity training regarding specific compliance, anti-discrimination and legal norms and policies. Training providing a detailed description regarding the factors that motivate and demotivate the Chinese workers. Behavioral training regarding the nature and behavior of Chinese employees. The manger would face the following problems while going through the transition phase: Behavioral tran.

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A tool used to determine the amount of time workers are spent on a task is called a flow process chart movement diagram work distribution chart Pert Chart flow process chart movement diagram work distribution chart Pert Chart Solution Flow process chart: is the graphical way of presenting, analyzing and displaying the process and movement of resources. Movement diagram: represents the motion of an object by displaying its location and signifying the spaces between them. Work Distribution charts: it analyses and describes the major functions of a work unit. PERT chart: represents the network diagram displaying the time estimates to complete a particular activity of a project. Thus, the tool used to determine the amount of time workers are spent on a task is called PERT CHART..

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A total of 42 tons of two types of ore is to be loaded into a smelter. The first type contains 6.0% copper, and the second contains 2.4% copper. Find the necessary amounts of each ore (to the nearest ton) to produce 2 tons of copper. Solution x and y tones be two types of ore is to be loaded into a smelter x+y=42 0.06x+0.024y=2 x=27.55 y=14.44 so 1st ore should be 28 tone and second ore should be 14 tone.

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A total of 10 people, consisting of 5 married couples, are randomley seated in a row for a photo. Let Ci denote the event that the ith couple are seated next to each other, i=1....5, and X be the total number of couples that are seated next to each other. a) find P(Ci) (i know this is 2/10) b) for j not eqaul to I, find the cond. probability that P(Cj/Ci) c) Find the expeted value for E[x] and var(X) of X. Thank you, DETAILED EXPLANATION! Solution a) P(Ci) we can consider ith couple as one unit and other 8 persons as individuals. Thus, no. of arrangements = 2 * 9! Total no. of possible arrangements = 10! Thus, P(Ci) = 2 * 9! / 10! = 2/10 = 1/5 b) P(Cj|Ci) Now, we have Ci as a couple, Cj as a couple No. of possible cases = 2 * 2 * 8! = 4 * 8! Total possible cases = 2 * 9! Thus, P(Cj|Ci) = 4 * 8! / 2 * 9! = 2/9.

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