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Quantity I. Suppose the Can initially contains 7x and 5x litres of mixtures A and B respectively.  Quantity of A in mixture left = 7x – 7/12 of 9 = 7x – (21/4) Litres  Quantity of B in mixture left =5x – 5/12 of 9 = 5x – (15/4) Litres   {7x – (21/4)} / {5x – (15/4) + 9 } = 7/9  (28x-21)/(20x+21) = 7/9  So 252x – 189 = 140x + 147 or x = 3.  Or Quantity of A in the Can initially = 7x = 21  Quantity II. Suppose the Can initially contains x and 4x litres of mixtures A and B respectively.  Quantity of A in mixture left = (4x-4/5 of 10) =(4x-8) litres  Quantity of B in mixture left = (1x-1/5 of 10) = (x-2) liters  (4x-8)/(x-2+10) = 2/3  Or 12x – 24 = 2x + 16  So x= 4.  Or Quantity of A in the Can initially = 4x = 16  Hence, Quantity I > Quantity II
For the study purpose, the mean of the observations is 148 gm and standard deviation is 17.4 gm. Approximately, the coefficient of variation equals to:
Following two statements are related to regression coefficient
(I) Independent of the change of origin
(II) Independent of the change of scale
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For the recorded observation, the coefficient of variation is 0.2 and the variance is 16. The arithmetic mean is:
If the random sample of size n is drawn without replacement from a finite population of size N, the correction factor for standard error of sample mean...
Two data set of size 9 and 6 have standard deviation 3 and 4 respectively and arithmetic means 3 and 3 respectively. The standard deviation of combined...
The arithmetic mean of the following frequency distribution of number of accidents X on week working days is:
X:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â...
The grouped data for the observation are as follows.
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Five persons A, B, C, D and E occupy seats in a row at random. The probability that A and B sit next to each other is: