English
Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Choose the correct alternative: If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to - Business Mathematics and Statistics

Advertisements
Advertisements

Question

Choose the correct alternative:

If X is a discrete random variable and p(x) is the probability of X, then the expected value of this random variable is equal to

Options

  • `sum"f"(x)`

  • `sum[x + "f"(x)]`

  • `sum"f"(x) + x`

  • `sumx"p"(x)`

MCQ

Solution

`sumx"p"(x)`

shaalaa.com
Mathematical Expectation
  Is there an error in this question or solution?
Chapter 6: Random Variable and Mathematical expectation - Exercise 6.3 [Page 141]

APPEARS IN

Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 6 Random Variable and Mathematical expectation
Exercise 6.3 | Q 7 | Page 141

RELATED QUESTIONS

For the random variable X with the given probability mass function as below, find the mean and variance.

`f(x) = {{:(1/10, x = 2","  5),(1/5, x = 0","  1","  3","  4):}`


For the random variable X with the given probability mass function as below, find the mean and variance.

`f(x) = {{:((4 - x)/6,  x = 1","  2","  3),(0,  "otherwise"):}`


Choose the correct alternative:

Consider a game where the player tosses a six-sided fair die. If the face that comes up is 6, the player wins ₹ 36, otherwise he loses ₹ k2, where k is the face that comes up k = {1, 2, 3, 4, 5}. The expected amount to win at this game in ₹ is


Choose the correct alternative:

On a multiple-choice exam with 3 possible destructive for each of the 5 questions, the probability that a student will get 4 or more correct answers just by guessing is


Let X be a random variable defining number of students getting A grade. Find the expected value of X from the given table:

 X = x 0 1 2 3
P(X = x) 0.2 0.1 0.4 0.3

The number of miles an automobile tire lasts before it reaches a critical point in tread wear can be represented by a p.d.f.
f(x) = `{{:(1/30 "e"^(- x/30)",",  "for"  x > 0),(0",",  "for"  x ≤ 0):}`
Find the expected number of miles (in thousands) a tire would last until it reaches the critical tread wear point


Choose the correct alternative:

Probability which explains x is equal to or less than a particular value is classified as


Choose the correct alternative: 

An expected value of a random variable is equal to it’s


What is the expected value of a game that works as follows: I flip a coin and if tails pay you ₹ 2; if heads pay you ₹ 1. In either case, I also pay you ₹ 0.50


The time to failure in thousands of hours of an important piece of electronic equipment used in a manufactured DVD player has the density function
f(x) = `{{:(2"e"^(-2x)",",  x > 0),(0",",  "otherwise"):}`
Find the expected life of this piece of equipment


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×