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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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a

600, 984 0000

b

4,00, 4560000

c

100, 182000000

d

400, 12300

answer is D.

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Detailed Solution

X = xi	-4000	0	3000
P(X = xi)	0.3	0.1	0.6

$M e a n = \sum_{} {x_{i}}^{} P (X = x_{i}) = - 4000 (0.3) + 0 (0.1) + 3000 (0.6) = - 1200 + 1800 ∴ M e a n = μ = 600 V a r i a n c e = σ^{2} = \sum_{} {x_{i}}^{2} P (X = x_{i}) - μ^{2} = {(- 4000)}^{2} (0.3) + {(0)}^{2} (0.1) + {(3000)}^{2} (0.6) - {(600)}^{2} = 9840000$ 600 Variance = 9840000

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