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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

The discrete random variable X has the probability function.

Value
of X = x
0 1 2 3 4 5 6 7
P(x) 0 k 2k 2k 3k k2 2k2 7k2 + k

Find k


The length of time (in minutes) that a certain person speaks on the telephone is found to be random phenomenon, with a probability function specified by the probability density function f(x) as 
f(x) = `{{:("Ae"^((-x)/5)",",  "for"  x ≥ 0),(0",",  "otherwise"):}`
Find the value of A that makes f(x) a p.d.f.


The length of time (in minutes) that a certain person speaks on the telephone is found to be random phenomenon, with a probability function specified by the probability density function f(x) as 
f(x) = `{{:("Ae"^((-x)/5)",",  "for"  x ≥ 0),(0",",  "otherwise"):}`
What is the probability that the number of minutes that person will talk over the phone is (i) more than 10 minutes, (ii) less than 5 minutes and (iii) between 5 and 10 minutes


Define random variable


Explain the distribution function of a random variable


State the properties of distribution function.


Choose the correct alternative:

A formula or equation used to represent the probability distribution of a continuous random variable is called


Choose the correct alternative: 

If the random variable takes negative values, then the negative values will have


Choose the correct alternative: 

The probability function of a random variable is defined as

X = x – 1 – 2 0 1 2
P(x) k 2k 3k 4k 5k

Then k is equal to


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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