English
Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

What do you understand by continuous random variable? - Business Mathematics and Statistics

Advertisements
Advertisements

Question

What do you understand by continuous random variable?

Sum

Solution

A random variable X which can take on any value (integral as well as fraction) in the interval is called continuous random variable.

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 14 | Page 133

RELATED QUESTIONS

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


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


An urn contains 5 mangoes and 4 apples. Three fruits are taken at random. If the number of apples taken is a random variable, then find the values of the random variable and number of points in its inverse images


Construct cumulative distribution function for the given probability distribution.

X 0 1 2 3
P(X = x) 0.3 0. 0.4 0.1

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 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.


Describe what is meant by a random variable


Choose the correct alternative:

If c is a constant in a continuous probability distribution, then p(x = c) is always equal to


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


Choose the correct alternative: 

The probability density function p(x) cannot exceed


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×