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Choose the correct alternative: A discrete probability function p(x) is always - Business Mathematics and Statistics

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प्रश्न

Choose the correct alternative: 

A discrete probability function p(x) is always

विकल्प

  • non-negative

  • negative

  • one

  • zero

MCQ
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उत्तर

non-negative

shaalaa.com
Random Variable
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Random Variable and Mathematical expectation - Exercise 6.3 [पृष्ठ १४३]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
अध्याय 6 Random Variable and Mathematical expectation
Exercise 6.3 | Q 24 | पृष्ठ १४३

संबंधित प्रश्न

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


A six sided die is marked ‘2’ on one face, ‘3’ on two of its faces, and ‘4’ on remaining three faces. The die is thrown twice. If X denotes the total score in two throws, find the values of the random variable and number of points in its inverse images


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

Evaluate p(x < 6), p(x ≥ 6) and p(0 < x < 5)


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

If P(X ≤ x) > `1/2`, then find the minimum value of x.


Explain what are the types of random variable?


Explain the distribution function of a random variable


State the properties of distribution function.


Choose the correct alternative: 

In a discrete probability distribution, the sum of all the probabilities is always equal to


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 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(0 ≤ X ≤ 10)


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