Solving Expected Value Calculator
Introduction to solving expected value calculator:
Expected value calculator is one of the most essential software tools for using the concepts in probability. The expected value of a real-respected random variable offers the center of the distribution of the variable, in a special sense.
The expected value calculator may be naturally understood by the law of large numbers. This calculator is used to solve probability problems with more easily. The expected value, when it survives, is almost for sure the limit of the sample mean as sample size grows to infinity.
Properties of expected value calculator:
We can use the following properties to solving the probability problems and easily find the expected value.
1. Show that E(A+ B) = E(A) + E(B)
2. Show that E (cA) = cE(A)
3. Show that if A 0 then E(A) 0.
4. Show that if A B then E (A) E (B)
5. Show that |E (A)| E (|A|)
These all properties are mostly used to solving a problem of expected value and also solving probability problems.
Uses of expected value calculator:
The moments of some random variables can be used to identify their distributions, via their moment generate in functions.
Expected value calculator is used to find the probability problem. So it is essential one of probability.
It also used to find law of large numbers.
Solving expected value calculator problem:
Let a measurement consist of tossing a fair coin three times. Let A denotes the number of heads which come into view. Then the feasible values of A are 0, 1, 2 and 3. The corresponding probabilities are 1/9, 3/9, 3/9, and 1/9. Find the expected value?
Solving expected value calculator solution:
We can find the expected value by using the following formula,
E (A) =∑ (m(x)) with the lower limit of x ε Ω
Substitute the given values into the above formula and then we get,
= 0(1/9) + 1(3/9) + 2(3/9) + 3(1/9)
Here we are multiplying the given feasible values and their probabilities.
Finally we get the answer for given.
=4/3
Practice problems of solving expected value calculator:
1. What is the expected value of a lottery ticket where there is only two chances in a million of winning the grand prize of $20 Million?
2. Rahim has been offered a chance to purchase a lottery ticket with a 1% chance of making $1000 and 4% chance of making $100 and 95% chance of making $ 0. The rice of the ticket is $15. Should he buy it? Why?
