student-cpt
427 Points
Joined April 2012
6.mean = 4 - 11/100 = 3.87 variance = 2.57 - (-0.11)^2 = 2.5579
7.the answer is 1. limx->0 of (1+x)^(1/x) is e so loge =1
8.r is coefficient of correlation so 0/8 what is the question???????
9. there are 4 possibilities for each man. so total no. of possibilities is 4^3 = 64. now no. of ways 3 men can be arranged in 4 hotals is 4P3 = 24 so probability is 8/3
10.let f(x) = root(x) now substitute 1-x in the place of x integral(f(x)) = integral(f(1-x)) (because the limits are 0,1 ) now add both integrals you would get I(f(x)) + I(f(1-x)) = 1 implies I(f(x)) = 0.5
12.Once again insufficient information. the other equation or variance of both the variables is needed to find out the correlation coefficient.
13.If it is thrown twice the probability of the sum is even is 5/9 ((2/3)^2 + (1/3)^2) the probability that it is an even number is 2/3 and probability of an odd number is 1/3 for the sum to be even either both have to be even or both have to odd.
14.the depreciation for the furniture excluding the furniture which is exchanged is 20,000-1,200 = 18,800 so deprecition on the furniture is 1880 so book value of the above furniture is 18,800 - 1880 = 16920 Assume the exchange took place in the middle of the year depreciation for 1200 = 1200 *0.05 so book value of exchanged asset = 1200*.95 = 1140
so book value of the exchanged asset = 1140+500 = 1640 depreciation on it for the remaining year is 1640*0.05 so book value is 1640*0.95 = 1558 so total value = 16920 +1558 = 18478.