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  • https://math.libretexts.org/Courses/Mt._San_Jacinto_College/Ideas_of_Mathematics/05%3A_Probability/5.02%3A_Expected_Value
    Expected value is perhaps the most useful probability concept we will discuss. It has many applications, from insurance policies to making financial decisions, and it's one thing that the casinos and ...Expected value is perhaps the most useful probability concept we will discuss. It has many applications, from insurance policies to making financial decisions, and it's one thing that the casinos and government agencies that run gambling operations and lotteries hope most people never learn about.
  • https://math.libretexts.org/Bookshelves/Calculus/Vector_Calculus_(Corral)/03%3A_Multiple_Integrals/3.07%3A_Application-_Probability_and_Expectation_Values
    In this section we will briefly discuss some applications of multiple integrals in the field of probability theory. In particular we will see ways in which multiple integrals can be used to calculate ...In this section we will briefly discuss some applications of multiple integrals in the field of probability theory. In particular we will see ways in which multiple integrals can be used to calculate probabilities and expected values.
  • https://math.libretexts.org/Workbench/Math_C096%3A_Support_for_Statistics_Corequisite%3A_MATH_C160_(Tran)/05%3A_Operations_on_Numbers/5.07%3A_Using_Summation_Notation
    When we have an expression with many numbers added to each other, there is a notation that makes the formulas easier to write down.
  • https://math.libretexts.org/Courses/Las_Positas_College/Math_Concurrent_Support/11%3A_Math_Support_for_Statistics/11.03%3A_Operations_on_Numbers/11.3.07%3A_Using_Summation_Notation
    When we have an expression with many numbers added to each other, there is a notation that makes the formulas easier to write down.
  • https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/15%3A_Probabilidad/15.04%3A_Valor_esperado
    El valor esperado es quizás el concepto de probabilidad más útil que discutiremos. Tiene muchas aplicaciones, desde pólizas de seguros hasta la toma de decisiones financieras, y es una cosa que los ca...El valor esperado es quizás el concepto de probabilidad más útil que discutiremos. Tiene muchas aplicaciones, desde pólizas de seguros hasta la toma de decisiones financieras, y es una cosa que los casinos y agencias gubernamentales que ejecutan operaciones de juego y loterías esperan que la mayoría de la gente nunca aprenda.
  • https://math.libretexts.org/Courses/Mission_College/Math_10%3A_Elementary_Statistics_(Sklar)/04%3A_Discrete_Random_Variables/4.02%3A_Mean_or_Expected_Value_and_Standard_Deviation
    The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μμ . In other words, after conducting many trials of an experiment, you would expect this average value.
  • https://math.libretexts.org/Courses/Coastline_College/Math_C100%3A_Liberal_Arts_Mathematics_(Tran)/04%3A_Probability_and_Odds/4.04%3A_Expected_Value
    Expected value is perhaps the most useful probability concept we will discuss. It has many applications, from insurance policies to making financial decisions, and it's one thing that the casinos and ...Expected value is perhaps the most useful probability concept we will discuss. It has many applications, from insurance policies to making financial decisions, and it's one thing that the casinos and government agencies that run gambling operations and lotteries hope most people never learn about.
  • https://math.libretexts.org/Courses/Mount_Royal_University/Mathematical_Reasoning/5%3A_Basic_Concepts_of_Probability/5.3%3A_Expected_value
    where xi represents the observed outcome and P(X=xi) is the probability of the outcome occurring. This is the measure one would see if the experiment was repeated a large number of times, na...where xi represents the observed outcome and P(X=xi) is the probability of the outcome occurring. This is the measure one would see if the experiment was repeated a large number of times, namely E(X)=np, where n is the number of times the experiment occurred and p is the probability for the event to occur. If we tossed a coin 1500 times, and the random variable X, represents the number of heads observed, we would expect 750 heads, that is E(X)=750.
  • https://math.libretexts.org/Courses/Coastline_College/Math_C160%3A_Introduction_to_Statistics_(Lee)/05%3A_Discrete_Random_Variables/5.03%3A_Mean_or_Expected_Value_and_Standard_Deviation
    The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μ . In other words, after conducting many trials of an experiment, you would expect this average value.
  • https://math.libretexts.org/Courses/Coastline_College/Math_Concurrent_Support_(Tran)/11%3A_Math_Support_for_Statistics/11.04%3A_Operations_on_Numbers/11.4.07%3A_Using_Summation_Notation
    When we have an expression with many numbers added to each other, there is a notation that makes the formulas easier to write down.
  • https://math.libretexts.org/Courses/Heartland_Community_College/HCC%3A_Introduction_to_Statistics_(Lathrop)/04%3A_Probability/4.5%3A_Mean_or_Expected_Value_and_Standard_Deviation
    The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term aver...The expected value is often referred to as the "long-term" average or mean. This means that over the long term of doing an experiment over and over, you would expect this average. This “long-term average” is known as the mean or expected value of the experiment and is denoted by the Greek letter μμ . In other words, after conducting many trials of an experiment, you would expect this average value.

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