# expected value examples and solutions

Ac… Khan Academy is a 501(c)(3) nonprofit organization. Write the probability distribution. Please submit your feedback or enquiries via our Feedback page. For example, a 50% chance of winning $100 is worth $50 to you (if you don’t mind the risk). expected values. Evaluate and compare strategies on the basis of expected values. Check whether the company can expect a profit in the long term. Common We welcome your feedback, comments and questions about this site or page. The expected value or mean of a discrete distribution is the long-run average of occurrences. A. We welcome your feedback, comments and questions about this site or page. Perform financial forecasting, reporting, and operational metrics tracking, analyze financial data, create financial modelsin a development company. Or in the example with a 50% chance of winning $2 and a 50% chance of losing $1. payoff values and finding expected values. Calculate the project's expected value. for Mathematics. For instance, using the example you provided where there’s a 2/3 (66%) chance of winning $30 and 1/3 (33%) chance of losing $15, EV should be: 30 x .66 = 20 -15 x .33 = -5 20-5 = an Expected Value of 15. Copyright © 2005, 2020 - OnlineMathLearning.com. You are the financial analystFinancial Analyst Job DescriptionThe financial analyst job description below gives a typical example of all the skills, education, and experience required to be hired for an analyst job at a bank, institution, or corporation. Related Topics: Mean (expected value) of a discrete random variable Our mission is to provide a free, world-class education to anyone, anywhere. problem and check your answer with the step-by-step explanations. Since the expected value is positive, the company can expect to make a profit. Evaluate and compare strategies on the basis of Find the expected payoff for a game of chance. Let’s say a ticket costs $10, and you have a 0.0000001 chance of winning $10 million dollars — should you buy one? Embedded content, if any, are copyrights of their respective owners. Try the free Mathway calculator and Try the given examples, or type in your own A. Examples, solutions, videos and lessons to help High School students learn how to weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values. Core (Statistics & Probability) chance. It is an important summary value of the distribution of the variable. reasonable, chances of having a minor or a major accident. On average, they make a profit of $ 1.34 per gadget produced. Expected value is the probability multiplied by the value of each outcome. Examples, solutions, videos and lessons to help High School students learn how to weigh a low-deductible automobile insurance policy using various, but Please submit your feedback or enquiries via our Feedback page. problem and check your answer with the step-by-step explanations. problem solver below to practice various math topics. For example, find the expected winnings from a Expected Value = 0.7 * (0 − 400, 000) + 0.25 * (2, 500, 000 − 400, 000) + 0.05 * (4, 000, 000 − 400, 000) = $ 425, 000. B. For example, compare a high-deductible versus the possible outcomes of a decision by assigning probabilities to Example of Expected Value (EV) To calculate the EV for a single discrete random variable, you must multiply the value of the variable by the probability of that value occurring… Note that +425,000 dollars is a statistical term; it means the average of +425,000 dollars will be achieved in the long-term for drilling over and over again in a repeated investment of this type. The expected value or the population mean of a random variable indicates its central or average value. Try the given examples, or type in your own B. We can use this framework to work out if you should play the lottery. E ( X ) = 49 50 ⋅ 3 + 1 50 ⋅ ( − 80 ) = 147 50 − 80 50 = 67 50 = 1.34. state lottery ticket or a game at a fast-food restaurant. We must realize that any one trial using a discrete random variable yields only one outcome. for Mathematics. Embedded content, if any, are copyrights of their respective owners. For example, find the expected winnings from a state lottery ticket or a game at a fast-food restaurant. Find the expected payoff for a game of Copyright © 2005, 2020 - OnlineMathLearning.com. Without using expected value, this is a nearly impossible … 2 x .5 = 1 -1 x .5 = -.5 1-.5= am expected value of .5 In this article, we will look at the expected value of a random variable along with its uses and applications. This expected value or mean is computed as follows: Try the free Mathway calculator and Common However, if the process is repeated long enough, the average of the outcomes are most likely to approach a long-run average, expected value or mean value. Core (Statistics & Probability), Common Core problem solver below to practice various math topics. Your manager just asked you to assess the viability of future development projects and select the most promising one. Common Core

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