मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य इयत्ता १२

What are the properties of discrete random variable - Business Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

What are the properties of discrete random variable

बेरीज
Advertisements

उत्तर

The probability mass function p(x) must satisfy the following conditions

(i) p(xi) ≥ 0 ∀ i

(ii) `sum_("i" = 1)^oo "p"(x_"i")` = 1

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

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 6 Random Variable and Mathematical expectation
Exercise 6.1 | Q 19. (i) | पृष्ठ १३३

संबंधित प्रश्‍न

Suppose X is the number of tails occurred when three fair coins are tossed once simultaneously. Find the values of the random variable X 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


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 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.


The distribution of a continuous random variable X in range (– 3, 3) is given by p.d.f.
f(x) = `{{:(1/16(3 + x)^2",", - 3 ≤ x ≤ - 1),(1/16(6 - 2x^2)",", - 1 ≤ x ≤ 1),(1/16(3 - x)^2",", 1 ≤ x ≤ 3):}`
Verify that the area under the curve is unity.


Distinguish between discrete and continuous random variables.


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: 

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 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)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×