English
Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Explain the terms probability distribution function - Business Mathematics and Statistics

Advertisements
Advertisements

Question

Explain the terms probability distribution function

Sum

Solution

The probability distribution of a random variable X is defined only when we have the various values of the random variable e.g. x1, x2 …… xn together with respective probabilities p1, p2, p3 …… p4 satisfying

`sum_("i" = 1)^"n" "PI"` =1

shaalaa.com
Random Variable
  Is there an error in this question or solution?
Chapter 6: Random Variable and Mathematical expectation - Exercise 6.1 [Page 133]

APPEARS IN

Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 6 Random Variable and Mathematical expectation
Exercise 6.1 | Q 18. (iii) | Page 133

RELATED QUESTIONS

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


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.


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


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 the Probability density function


Choose the correct alternative: 

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


Choose the correct alternative: 

A variable which can assume finite or countably infinite number of values is known as


Choose the correct alternative: 

A discrete probability function p(x) is always


Choose the correct alternative: 

The height of persons in a country is a random variable of the type


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)


Let X be a random variable with a cumulative distribution function.
F(x) = `{{:(0",",  "if"  x  < 0),(x/8",",  "if"  0 ≤ x ≤ 1),(1/4 + x/8",",  "if"  1 ≤ x ≤ 2),(3/4 + x/12",",  "if"  2 ≤ x < 3),(1",",  "for"  3 ≤ x):}`
Is X a discrete random variable? Justify your answer


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×