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Variance
Consider the example of investment opportunities. The expected gains were Rs.114 and Rs.81 respectively. The fact is that an investor also looks at the dispersion before coming to a decision.
The dispersion of opportunity 1 is far greater than that of opportunity 2. This might alarm the investor.
In this example, it might be worthwhile to compute the coefficient of variation.
For opportunity 1, this works out to be
= (42/114) x 100 = 36.84%
For opportunity 2, this works out to be
= (29.14/81) x 100 = 35.97%
The investor may regard both opportunities homogeneous in this regard and therefore find opportunity 1 more attractive (because of the higher expected returns).
a)Solve for ?, if tan5? = 1. Ans: Tan 5? = 1 ⇒ ? =45/5 ⇒ ?=9 o . b)Solve for ? if S i n ?/1 + C os ? + 1 + C os ?/ S i n ? = 4 . Ans: S i n ?/1 +
1. A machine comprises of three transformers A, B and C. Such machine may operate if at least 2 transformers are working. The probability of each transformer working is given as di
Q. What is Combination Formula? Ans. The difference between combinations and permutations is that permutations take ordering into consideration, whereas combinations do no
A story based on profit and loss
Let {An} be sequence of real numbers. Define a set S by: S={i ? N : for all j > i, ai
cos^2(A)x sin(A)
2.5 in\ \/
use the distributive law to write each multiplication in a different way. then find the answer. 12x14 16x13 14x18 9x108 12x136 20x147
how to do it
Theorem, from Definition of Derivative If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a
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