1. you didn't mention the number of bonds issued or the par value of the bonds issued. as such the question cannot be answered.
2. if the co-operation to form a business is for a specific project only it is joint venture. if they expect to continue to do the same business in future too(i.e. after completion of this venture) then it is a partnership. In this case in the abscence of any other information you can assume it is joint venture
3.U-shaped. short run tfc curve always goes down. but short run tvc curve goes to a minimum and then rises.
tc = tfc + tvc so u shaped\
4. np = 3 npq = 2 implies q = 2/3 implies p = 1/3 and n =9 so P(X<=2) = P(X=0)+P(X=1)+P(X=2) = (2/3)^9 + 9*(2^8/3^9) + 36*(2^7/3^9) = 0.3771
5. P(A) = 6/(6+9) = 6/15 = 2/5 P(B) = 1/(1+12) = 1/13 A and B are independent events ( the prabablity of B solving the problem doesn't depend on whether A solved it or not) the problem getting solved is P(AUB) = 6/15 + 1/13 - ((6/15)*(1/13)) = 29/65
6. (r^8-1) = 5*(r^4-1) implies r^4+1 = 5 implies r^4 = 4 imples r = root(2)
8. if the guy who is a doc and officer is included then the other 2 members can be choosen from anyone i.e. in 8c2 whays i.e. 28 ways. now suppose the guy is excluded, now either it is 2docs and 1 officer or 2 officers and 1 doc so 2*4c2*4c1 = 2*6*4 = 48 ways total = 28 + 48 = 76
CAclubindia
