Task Assignment Below you will find two problems in the area of com.pdf

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This document provides two probability problems to solve involving rolling dice. The first problem asks to list the sample space and outcomes associated with the event of rolling a red die and a blue die. The second problem asks to calculate the probability of rolling a sum of 7 using two standard dice.

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Task Assignment: Below you will find two problems in the area of combinatorics and
probability. Solve both problems showing all steps and all calculations. Thoroughly explain how
and why you did each calculation with complete sentences. I: Probability: Two dice are rolled,
one red and one blue. (a) List down the sample space (b) List the outcomes associated with
the event
Solution

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TB is a successful international telecommunication company with over 100,000 employees and a headquarters in its base country\'s capital city, U. A recent report concluded that TB has been successful because it has seized the opportunities of globalisation through a series of initiatives including using virtual work teams spread cross continents, cultures and time zones. These initiatives helped to improve staff productivity and maximised TB\'s use of technology. Key features of TB\'s operation include: Solution There a number of challenges for TB.

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Tay-Sachs is a recessive lethal disease in which there is neurological deterioration early in life. This disease is rare in the population overall but is found at relatively high frequency in Ashkenazi Jews from Central Europe. A woman whose maternal uncle had the disease is trying to determine the probability that she and her husband could have an affected child. Her father does not come from a high risk population. Her husband’s sister died of the disease at an early age. a. Draw the pedigree of the individuals described. Include the genotype where possible. b. Determine the probability that the couple’s first child will be affected. Solution Maternal Grandmother: Nt Maternal Grandfather: Nt Uncle: tt Mother: NX Father: NN Woman: NX Husband\'s mother: Nt Husband\'s father: Nt Husband\'s Sister: tt Husband: NX t = tay sachs X = unknown N = Normal gene There\'s a 50% chance the woman is a carrier and a 66.6% chance the husband is a carrier. Going by what we know, there is a 1 in 12 chance the child will have the disease. (24 total outcomes, only two result in the child having tay sachs).

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Talk about Greece leaving the Euro has been reignited by the recent election of Syrzia, with some again talking about how it is practically inevitable. Why are these people viewing a Greek default as likely triggering an exit from the Euro? Couldn\'t Greece simply default on its debt and continue to use the Euro? Would this trigger the ECB to freeze the accounts of Greek banks (and if so, why?). I understand why moving to a local currency, which can be devalued, might make sense for a country that needs economic stimulation. But I don\'t understand the direct cause-and-effect from a sovereign default to an exit from the Euro. Solution As far as I recall, you\'re dead on: they don\'t have to. The contracts don\'t allow for \"some countries kicking others out of the Euro Zone\", they never envisioned this scenario when writing them. On the other side, Greece can, and should, leave on its own. Sharing the currency is hurting them economically, the only reason they\'re not is that the continuous inflow of loans is preferred over leaving the zone. But if Greece really defaults, I don\'t think there will be any more lending in the short run. And then really there is no reason for Greece to stay..

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Take the transition matrices labeled P3 and P4 and determine the expected number of time periods in each transient state, j, given we start in i (sij) and the probabilities that the M.C. ever makes a transition to transient state j, given starting in i (fij) for each of the two M.C.\'s. P3=State 1State 2State 3State 4State 5State 1.50.500State 2.250.50.2500State 3.50.500State 4000.5.5State 5000.5.5 Solution This problem can be solved via careful examination of each of the two matrices. Note that, with P3, if we look at the matrix made up of states 1 and 3, as well as 4 and 5, the matrices are identical and have identical values in all cells, and the probabilities add to 1 .5 .5 .5 .5 This tells us that all four of these states are recurrent states. Thus, we only need to consider state 2. Note that it has probability .5 of remaining in state 2, and .5 of leaving (from which point it will never return). Thus, state 2 is the only transient state, and the expected number of time periods in the state given a start in states 1, 3,4, or 5 is 0. Starting in state 2, the expected number of visits to state 2 is 1/(1-p) = 1/(1- .5) = 2 s22 = 2 s12 = s32 = s42 = s52 = 0 There are no other transient states. The probability of reaching the transient state, given that we start in any other state, is 0. Next, consider P4 We see that 1 and 2 are recurrent states, as they have positive probability of reaching each other and never go to other states. We see that state 3 is an absorbing state. We see that states 4 and 5 are transient states. For state 5, we have probability 1 of leaving it and we never return it from any other state, so s55 = 1 s15 = s25 = s35 = s45 = 0 For state 4, we have probability 2/3 of staying in state 4 and probability 1/3 of leaving and never returning, and we never reach state 4 from any other state. s44 = 1/(1- 2/3) = 1/(1/3) = 3 s14=s24=s34=s54 = 0 The probability of either transient state, given starting elsewhere, is 0..

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Talk about six economies of worth, or sets of values, that we prioritize differently. Although we may not always prioritize our values the same way in different situations, I\'d like to think about how you would rank these six economies of worth for yourself. Out of the six worlds of value listed (Industrial, Domestic, Market, Civic, Fame and Inspiration), how would you rank them in your own life? Lastly, discuss whether or not you think this perspective on values makes sense. Is it useful? valid? accurate? Solution Based on Boltanski and Thévenot \'s theory we have come across that there are six social orders of worth(or we can say economies of worth) which co exists simultaneously, rather than in isolation, in same social space but are associated with particular social domains. These economies are worth are as follows: Each of the above order holds a particular regime of worth, according to which people are evaluated and, in turn, evaluate other people and objects. The civic order attaches primitive importance to collectives instead of individuals. As such, it values solidarity, group membership, and collective interest, which often take a legal form in delegation and representation. The market ecomoy of worth is the world of desire and competition over the possession of valuable, salable, or rare goods. The inspired economy is the order of vision, passions, and imagination, where people\'s worth is determined by their degree of artistic nature, originality, and creativeness. In the world of fame - the world of attention, persuasion, and presentation - worth is based on the opinion of others. The industrial order is the world of science and technology, where efficiency, performance, and productivity constitute key measures of worth. In this world, people are evaluated on the basis of their reliability, predictability, and professionalism.The domestic economy is the world of traditions, values, customs, and conventions, where people\'s worth depends on their upbringing, manners, and good character. To integrate economic and social values in one analytic framework, they have arrived at a set of principles that people resort to in order to justify their actions. These principles, which operate within different economies of worth, are appealed to by individuals depending on the particular economy in which they inhabit in a given situation. The priorities of these worth could be different to different people. One, being of traditionalist nature would prioritize Domestic ecomomy of worth first and then other orders. Such a person who hold great values to traditions, norms, mannerism and customs would have the following prioritiy levels of the orders of worth: Rank 1: Domestic: Being a traditionalist, one would like to behave in line of values, norms, customs etc. and would also evaluate others on basis of their characters quality, behavior etc. Rank 2: Civic : such a person would also give prefernc to collectivism rather than individualism. Rank .

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