English
Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

In investment, a man can make a profit of ₹ 5,000 with a probability of 0.62 or a loss of ₹ 8,000 with a probability of 0.38. Find the expected gain

Advertisements
Advertisements

Question

In investment, a man can make a profit of ₹ 5,000 with a probability of 0.62 or a loss of ₹ 8,000 with a probability of 0.38. Find the expected gain

Chart
Sum
Advertisements

Solution

X 5000 – 8000
P(X = x) 0.62 0.38

Let x be the random variable of getting gain in an Investment

E(x) be the random variable of getting gain in an Investment

E(x) = ΣPixi

= (0.62 × 5000) + [0.38 × (– 8000)]

= 3100 – 3040

E(x) = 60

∴ Expected gain = ₹ 60

shaalaa.com
Mathematical Expectation
  Is there an error in this question or solution?
Chapter 6: Random Variable and Mathematical expectation - Exercise 6.2 [Page 140]

APPEARS IN

Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 6 Random Variable and Mathematical expectation
Exercise 6.2 | Q 6 | Page 140

RELATED QUESTIONS

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"):}`


Four fair coins are tossed once. Find the probability mass function, mean and variance for a number of heads that occurred


The probability density function of the random variable X is given by

`f(x) = {{:(16x"e"^(-4x), x > 0),(0, x ≤ 0):}`
find the mean and variance of X


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


The following table is describing about the probability mass function of the random variable X

x 3 4 5
P(x) 0.2 0.3 0.5

Find the standard deviation of x.


Let X be a continuous random variable with probability density function
f(x) = `{{:(3/x^4",",  x ≥ 1),(0",",  "otherwise"):}`
Find the mean and variance of X


Define Mathematical expectation in terms of discrete random variable


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:

Which of the following is not possible in probability distribution?


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×