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In investment, a man can make a profit of ₹ 5,000 with a probability of 0.62 or a loss of ₹ 8,000 with a probability of 0.38. Find the expected gain

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प्रश्न

In investment, a man can make a profit of ₹ 5,000 with a probability of 0.62 or a loss of ₹ 8,000 with a probability of 0.38. Find the expected gain

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उत्तर

X 5000 – 8000
P(X = x) 0.62 0.38

Let x be the random variable of getting gain in an Investment

E(x) be the random variable of getting gain in an Investment

E(x) = ΣPixi

= (0.62 × 5000) + [0.38 × (– 8000)]

= 3100 – 3040

E(x) = 60

∴ Expected gain = ₹ 60

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Mathematical Expectation
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पाठ 6: Random Variable and Mathematical expectation - Exercise 6.2 [पृष्ठ १४०]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 6 Random Variable and Mathematical expectation
Exercise 6.2 | Q 6 | पृष्ठ १४०

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