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State the definition of Mathematical expectation using continuous random variable

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प्रश्न

State the definition of Mathematical expectation using continuous random variable

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उत्तर

If X is a continuous random variable and fix) is the value of its probability density function at x, the expected value of X is E(X) = `int_(-oo)^oo x  "f"(x)  "d"x`   .......(2)

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Mathematical Expectation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Random Variable and Mathematical expectation - Exercise 6.2 [पृष्ठ १४१]

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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 11 | पृष्ठ १४१

संबंधित प्रश्‍न

For the random variable X with the given probability mass function as below, find the mean and variance.

`f(x) = {{:(2(x - 1), 1 < x ≤ 2),(0, "otherwise"):}`


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Let X be a random variable defining number of students getting A grade. Find the expected value of X from the given table:

 X = x 0 1 2 3
P(X = x) 0.2 0.1 0.4 0.3

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f(x) = `{{:(3/x^4",",  x ≥ 1),(0",",  "otherwise"):}`
Find the mean and variance of X


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Choose the correct alternative:

E[X – E(X)]2 is


Choose the correct alternative: 

`int_(-oo)^oo` f(x) dx is always equal to


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