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Write the values of the square root of −i.
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If x + iy =\[\sqrt{\frac{a + ib}{c + id}}\] then write the value of (x2 + y2)2.
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If\[\sqrt{a + ib} = x + iy,\] then possible value of \[\sqrt{a - ib}\] is
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If a = 1 + i, then a2 equals
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Find the mean, mode, S.D. and coefficient of skewness for the following data:
| Year render: | 10 | 20 | 30 | 40 | 50 | 60 |
| No. of persons (cumulative): | 15 | 32 | 51 | 78 | 97 | 109 |
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Calculate coefficient of variation from the following data:
| Income (in Rs): | 1000-1700 | 1700-2400 | 2400-3100 | 3100-3800 | 3800-4500 | 4500-5200 |
| No. of families: | 12 | 18 | 20 | 25 | 35 | 10 |
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An analysis of the weekly wages paid to workers in two firms A and B, belonging to the same industry gives the following results:
| Firm A | Firm B | |
| No. of wage earners | 586 | 648 |
| Average weekly wages | Rs 52.5 | Rs. 47.5 |
| Variance of the |
100 |
121 |
| distribution of wages |
(i) Which firm A or B pays out larger amount as weekly wages?
(ii) Which firm A or B has greater variability in individual wages?
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The following are some particulars of the distribution of weights of boys and girls in a class:
| Number | Boys | Girls |
| 100 | 50 | |
| Mean weight | 60 kg | 45 kg |
| Variance | 9 | 4 |
Which of the distributions is more variable?
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A dice is thrown. Find the probability of getting a prime number
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A dice is thrown. Find the probability of getting:
2 or 4
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A dice is thrown. Find the probability of getting a multiple of 2 or 3.
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In a simultaneous throw of a pair of dice, find the probability of getting:
8 as the sum
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In a simultaneous throw of a pair of dice, find the probability of getting a doublet
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In a simultaneous throw of a pair of dice, find the probability of getting a doublet of prime numbers
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In a simultaneous throw of a pair of dice, find the probability of getting a doublet of odd numbers
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In a simultaneous throw of a pair of dice, find the probability of getting a sum greater than 9
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In a simultaneous throw of a pair of dice, find the probability of getting an even number on first
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In a simultaneous throw of a pair of dice, find the probability of getting an even number on one and a multiple of 3 on the other
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In a simultaneous throw of a pair of dice, find the probability of getting neither 9 nor 11 as the sum of the numbers on the faces
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In a simultaneous throw of a pair of dice, find the probability of getting a sum more than 6
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