Let x denote the profit of a business man. The probability of getting profit Rs 3000 is 0.6. The probability of getting loss Rs. 4000 is 0.3. The probability of getting neither profit nor loss is 0.1; the mean and variance of x are

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600, 984 0000

4,00, 4560000

100, 182000000

400, 12300

answer is D.

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Detailed Solution

$X = x_{i}$	-4000	0	3000
$P (X = x_{i})$	0.3	0.1	0.6

Mean $= \in x_{i} P (X = x_{i})$

$= - 4000 (0.3) + 0 (0.1) + 3000 (0.6)$

$∴$ Mean $= (μ) = 600$

Variance $(σ^{2}) = \sum_{} {x_{i}}^{2} P (X = x_{i}) - μ^{2}$

$= {(- 4000)}^{2} (0.3) + {(0)}^{2} + {(3000)}^{2} (0.6) - {(600)}^{2} = 9840000$

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