1. Value of Probability lies between:





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MCQ-> Analyze the following passage and provide appreciate answers for the questions that follow. Ideas involving the theory probability play a decisive part in modern physics. Yet we will still lack a satisfactory, consistence definition of probability; or, what amounts to much the same, we still lack a satisfactory axiomatic system for the calculus of probability. The relations between probability and experience are also still in need of clarification. In investigating this problem we shall discover what will at first seem an almost insuperable objection to my methodological views. For although probability statements play such a vitally important role in empirical science, they turn out to be in principle impervious to strict falsification. Yet this very stumbling block will become a touchstone upon which to test my theory, in order to find out what it is worth. Thus, we are confronted with two tasks. The first is to provide new foundations for the calculus of probability. This I shall try to do by developing the theory of probability as a frequency theory, along the lines followed by Richard von Mises, But without the use of what he calls the ‘axiom of convergence’ (or ‘limit axiom’) and with a somewhat weakened ‘axiom of randomness’ The second task is to elucidate the relations between probability and experience. This means solving what I call the problem of decidability statements. My hope is that the investigations will help to relieve the present unsatisfactory situation in which physicists make much use of probabilities without being able to say, consistently, what they mean by ‘probability’.The statement, “The relations between probability and experience are still in need of clarification” implies that:
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MCQ-> Analyse the following passage and provide an appropriate answer for the questions that follow. When we speak of the “probability of death”, the exact meaning of the experience can be defined in the following way only. We must not think of an individual, but of this expression can be defined in the following way only. We must not think of an individual, but of a certain class as a whole, e.g., “all insured men forty-one years old living in a given country and not engaged in certain dangerous occupations.” A probability of death is attached to the class of men or to another class that can be defined in a similar way. We can say nothing about the probability of death of an individual even if we know this condition of life and health in detail. The phrase “probability of death”, which it refers to a single person, has no meaning at all.Which of the following conclusions can be drawn from the passage? 1. Singular, non replicable events can be assigned numerical probability value. 2. Probability calculation requires data of the class of people or of events. 3. The data about a class of events can be used to predict the future of any specific event.....
MCQ-> The English alphabet is divided into five groups. Each group starts with the vowel and the consonants immediately following that vowel and the consonants immediately following that vowel are included in that group. Thus, the letters A, B, C, D will be in the first group, the letters E, F, G, H will be in the second group and so on. The value of the first group is fixed as 10, the second group as 20 and so on. The value of the last group is fixed as 50. In a group, the value of each letter will be the value of that group. To calculate the value of a word, you should give the same value of each of the letters as the value of the group to which a particular letter belongs and then add all the letters of the word: If all the letters in the word belong to one group only, then the value of that word will be equal to the product of the number of letters in the word and the value of the group to which the letters belong. However, if the letters of the words belong to different groups, then first write the value of all the letters. The value of the word would be equal to the sum of the value of the first letter and double the sum of the values of the remaining letters.For Example : The value of word ‘CAB’ will be equal to 10 + 10 + 10 = 30, because all the three letters (the first letter and the remaining two) belong to the first group and so the value of each letter is 10. The value of letter BUT = $$10 + 2 \times 40 + 2 \times 50 = 190$$ because the value of first letter B is 10, the value of T = 2 $$\times$$ 40 (T belongs to the fourth group) and the value of U = 2 $$\times$$ 50 (U belongs to the fifth group). Now calculate the value of each word given in questions 161 to 165 :AGE
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MCQ-> Read the following passage and solve the questions based on it.Taking note of the day-long heavy queue in front of the Tarangabad Transport Department office everyday for obtaining transport permits, the City Administration comes out with a ‘Single Office-Five Windows’ system for facilitating the process. For simplicity, the windows are named as W1, W2, W3, W4 and W5 respectively. Office hours are from 8:00 AM to 5:30 PM, barring Saturday, when the office closes by 2.30 PM. To streamline the rush and reduce pressure on the employees, the working hours of the aforesaid windows are defined in the following manner:1. W1 is open between 9.30 AM and 2.30 PM on Monday and Wednesday, between 8.00 AM and 11.30 AM on Tuesday and Thursday and between 3.00 PM and 5.00 PM on Friday. 2. W2 is open between 8.30 AM and 11.30 AM on Wednesday and Thursday, between 8.00 AM and 10.00 AM on Friday, and between 12.30 PM and 2.30 PM on Monday and Saturday. 3. W3 is open between 10.00 AM and 12.30 PM on Wednesday and Saturday, between 10.00 AM and 12.00 Noon on Friday, and between 3.30 PM and 5.30 PM on Monday and Thursday. 4. W4 is open between 11.30 AM and 3.00 PM on Tuesday, between 12.30 PM and 3.00 PM on Thursday and Friday, between 8 AM and 10 AM on Saturday and Monday and between 3.30 PM to 5.30 PM on Wednesday. 5. W5 is open between 2.00 PM and 4.00 PM on Monday, 3.30 PM and 5.30 PM on Tuesday and Friday, between 8 AM and 10 AM on Wednesday and between 10.30 AM to 12.30 PM on Thursday.On which of the following days, maximum number of windows is simultaneously open at 9.45 AM?
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MCQ-> The teaching and transmission of North Indian classical music is, and long has been, achieved by largely oral means. The raga and its structure, the often breathtaking intricacies of talc, or rhythm, and the incarnation of raga and tala as bandish or composition, are passed thus, between guru and shishya by word of mouth and direct demonstration, with no printed sheet of notated music, as it were, acting as a go-between. Saussure’s conception of language as a communication between addresser and addressee is given, in this model, a further instance, and a new, exotic complexity and glamour.These days, especially with the middle class having entered the domain of classical music and playing not a small part ensuring the continuation of this ancient tradition, the tape recorder serves as a handy technological slave and preserves, from oblivion, the vanishing, elusive moment of oral transmission. Hoary gurus, too, have seen the advantage of this device, and increasingly use it as an aid to instructing their pupils; in place of the shawls and other traditional objects that used to pass from shishya to guru in the past, as a token of the regard of the former for the latter, it is not unusual, today, to see cassettes changing hands.Part of my education in North Indian classical music was conducted via this rather ugly but beneficial rectangle of plastic, which I carried with me to England when I was a undergraduate. Once cassette had stored in it various talas played upon the tabla, at various tempos, by my music teacher’s brother-in law, Hazarilalii, who was a teacher of Kathak dance, as well as a singer and a tabla player. This was a work of great patience and prescience, a one-and-a-half hour performance without my immediate point or purpose, but intended for some delayed future moment who I’d practise the talas solitarily.This repeated playing our of the rhythmic cycles on the tabla was inflected by the noises-an hate auto driver blowing a horn; the sound bf overbearing pigeons that were such a nuisance on the banister; even the cry of a kulfi seller in summer —entering from the balcony of the third foot flat we occupied in those days, in a lane in a Bombay suburb, before we left the city for good. These sounds, in turn, would invade, hesitantly, the ebb and flow of silence inside the artificially heated room, in a borough of West London, in which I used to live as an undergraduate. There, in the trapped dust, silence and heat, the theka of the tabla, qualified by the imminent but intermittent presence of the Bombay subrub, would come to life again. A few years later, the tabla and, in the background, the pigeons and the itinerant kulfi seller, would inhabit a small graduate room in Oxford.cThe tape recorder, though, remains an extension of the oral transmission of music, rather than a replacement of it. And the oral transmission of North Indian classical music remains, almost uniquely, testament to the fact that the human brain can absorb, remember and reproduces structures of great complexity and sophistication without the help of the hieroglyph or written mark or a system of notation. I remember my surprise on discovering the Hazarilalji- who had mastered Kathak dance, tala and North Indian classical music, and who used to narrate to me, occasionally, compositions meant for dance that were grant and intricate in their verbal prosody, architecture and rhythmic complexity- was near illustrate and had barely learnt to write his name in large and clumsy letters.Of course, attempts have been made, throughout the 20th century, to formally codify and even notate this music, and institutions set up and degrees created, specifically to educate students in this “scientific” and codified manner. Paradoxically, however, this style of teaching has produced no noteworthy student or performer; the most creative musicians still emerge from the guru-shishya relationship, their understanding of music developed by oral communication.The fact that North Indian classical music emanates from, and has evolved through, oral culture, means that this music has a significantly different aesthetic, aw that this aesthetic has a different politics, from that of Western classical music) A piece of music in the Western tradition, at least in its most characteristic and popular conception, originates in its composer, and the connection between the two, between composer and the piece of music, is relatively unambiguous precisely because the composer writes down, in notation, his composition, as a poet might write down and publish his poem. However far the printed sheet of notated music might travel thus from the composer, it still remains his property; and the notion of property remains at the heart of the Western conception of “genius”, which derives from the Latin gignere or ‘to beget’.The genius in Western classical music is, then, the originator, begetter and owner of his work the printed, notated sheet testifying to his authority over his product and his power, not only of expression or imagination, but of origination. The conductor is a custodian and guardian of this property. IS it an accident that Mandelstam, in his notebooks, compares — celebratorily—the conductor’s baton to a policeman’s, saying all the music of the orchestra lies mute within it, waiting for its first movement to release it into the auditorium?The raga — transmitted through oral means — is, in a sense, no one’s property; it is not easy to pin down its source, or to know exactly where its provenance or origin lies. Unlike the Western classical tradition, where the composer begets his piece, notates it and stamps it with his ownership and remains, in effect, larger than, or the father of, his work, in the North India classical tradition, the raga — unconfined to a single incarnation, composer or performer — remains necessarily greater than the artiste who invokes it.This leads to a very different politics of interpretation and valuation, to an aesthetic that privileges the evanescent moment of performance and invocation over the controlling authority of genius and the permanent record. It is a tradition, thus, that would appear to value the performer, as medium, more highly than the composer who presumes to originate what, effectively, cannot be originated in a single person — because the raga is the inheritance of a culture.The author’s contention that the notion of property lies at the heart of the Western conception of genius is best indicated by which one of the following?
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