Why Dehradun is the best place to pursue education in India?
Dehradun boasts of its highly prestigious educational institutions that makes it the ‘Educational Hub of India’.
#CityOfLove is a series meant to feature the reasons why Dehradun is a place for you.
Anyone interested to purchase TIME Study Material
Booklets: Set A, B and C
Hand Out Sheets: VA, LR, DI and QA
Hand Out Solution Booklets: All
GD/PI/WAT: Supporting booklets.
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In a study of traﬃc ﬂow in a section of the CBD two intersections are selected to be analysed. The intersections are chosen to have integer coordinates (X1,Y1) and (X2,Y2) where 1<=X2<=X1<=4, 1<=Y1<=3, 1<=Y2<= 3 and Y2 >= Y1.
The intersection at (X1,Y1) is chosen ﬁrst, with probability distribution given by Pr((X1,Y1) = (x,y))= c /x , for some constant c ∈ R.
The intersection at (X2,Y2) is chosen second and is selected uniformly at random from the choices that are compatible with the location of the ﬁrst intersection. Let A be the event that X1 > 3, let B be the event that Y1 > 2, let C be the event that X2 = 3 and let D be the event that X1 = 3.
(a) What is the value of c?
(b) What are Pr(A) and Pr(B)?
(c) What is Pr(A∩B)?
(d) Use your answers to (b) and (c) to ﬁnd Pr(A∪B).
(e) Are the events A and B independent?
(f) What is Pr(C | A∩B)?
(g) Use Bayes’ Theorem to ﬁnd Pr(D | C).
(h) Are the events D and C independent?
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T.I.M.E study and test material for CAT- set of 16+books and 20+test booklets, along with general knowledge material is available for sale. Along with this, videos of TIME, BYJU and CETKING available with it. Also, you can get GDPI preparation kits and softcopy of various CAT prep material.
Anyone interested, please dm at the earliest.
Comment with your answer.
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