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Describe what is meant by a random variable

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प्रश्न

Describe what is meant by a random variable

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उत्तर

If S is a sample space with a probability measure and x is a real-valued function defined over the elements of S then x is called a random variable A random variable is also called a change variable.

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Random Variable
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Random Variable and Mathematical expectation - Exercise 6.1 [पृष्ठ १३३]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 6 Random Variable and Mathematical expectation
Exercise 6.1 | Q 15 | पृष्ठ १३३

संबंधित प्रश्‍न

In a pack of 52 playing cards, two cards are drawn at random simultaneously. If the number of black cards drawn is a random variable, find the values of the random variable and number of points in its inverse images


Two balls are chosen randomly from an urn containing 6 red and 8 black balls. Suppose that we win ₹ 15 for each red ball selected and we lose ₹ 10 for each black ball selected. X denotes the winning amount, then find the values of X and number of points in its inverse images


Two coins are tossed simultaneously. Getting a head is termed a success. Find the probability distribution of the number of successes


A continuous random variable X has the following distribution function
F(x) = `{{:(0",",  "if"  x ≤ 1),("k"(x - 1)^4",",  "if"  1 < x ≤ 3),(1",",  "if"  x > 3):}`
Find k


Explain what are the types of random variable?


Explain the terms probability density function


Choose the correct alternative: 

A set of numerical values assigned to a sample space is called


The probability function of a random variable X is given by
p(x) = `{{:(1/4",",  "for"  x = - 2),(1/4",",  "for"  x = 0),(1/2",",  "for"  x = 10),(0",",  "elsewhere"):}`
Evaluate the following probabilities
P(X ≤ 0)


The probability distribution function of a discrete random variable X is
f(x) = `{{:(2k",",  x = 1),(3k",",  x = 3),(4k",", x = 5),(0",",  "otherwise"):}`
where k is some constant. Find k 


The probability density function of a continuous random variable X is
f(x) = `{{:(a + bx^2",",  0 ≤ x ≤ 1),(0",",  "otherwise"):}`
where a and b are some constants. Find Var(X)


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