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HarvardX Data Science - Probability (PH125.3x)

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52 Ejercicios
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Descripción del curso

Gain important foundational knowledge in probability theory, essential for data scientist, as you learn key concepts through a motivating case study on the financial crisis of 2007-08. Find the complete course on edx.org here.
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  1. 1

    Introduction to Discrete Probability

    Gratuito

    In this chapter, you will learn about the fundamentals of discrete probability through looking at examples of sampling from an urn with and without replacement.

    Reproducir Capítulo Ahora
    Exercise 1. Probability of cyan - generalized
    100 xp
    Exercise 2. Probability of not cyan - generalized
    100 xp
    Exercise 3. Sampling without replacement - generalized
    100 xp
    Exercise 4. Sampling with replacement - generalized
    100 xp
    End of Assessment: Introduction to Discrete Probability
    50 xp
  2. 2

    Independence and Multiplication Rule

    Gratuito

    In this chapter, you will learn about independence, conditional probability, and the multiplication rule through examples involving draws from an urn, rolls of a die, and sports series wins.

    Reproducir Capítulo Ahora
    Exercise 1. Independence
    50 xp
    Exercise 2. Sampling with replacement
    100 xp
    Exercise 3. Rolling a die
    100 xp
    Exercise 4. Probability the Celtics win a game
    100 xp
    Exercise 5. Monte Carlo simulation for Celtics winning a game
    100 xp
    End of Assessment: Independence and Multiplication Rule
    50 xp
  3. 3

    The Addition Rule

    Gratuito

    In this chapter, you will learn about the addition rule and the Monty Hall problem.

    Reproducir Capítulo Ahora
    Exercise 1. The Cavs and the Warriors
    100 xp
    Exercise 2. The Cavs and the Warriors - Monte Carlo
    100 xp
    Exercise 3. A and B play a series - part 1
    100 xp
    Exercise 4. A and B play a series - part 2
    100 xp
    End of Assessment: The Addition Rule
    50 xp
  4. 4

    Continuous Probability

    Gratuito

    In this chapter, you will learn about continuous probability through the use of examples involving the distribution of heights and IQ scores.

    Reproducir Capítulo Ahora
    Exercise 1. Distribution of female heights - 1
    100 xp
    Exercise 2. Distribution of female heights - 2
    100 xp
    Exercise 3. Distribution of female heights - 3
    100 xp
    Exercise 4. Distribution of female heights - 4
    100 xp
    Exercise 5. Probability of 1 SD from average
    100 xp
    Exercise 6. Distribution of male heights
    100 xp
    Exercise 7. Distribution of IQ scores
    100 xp
    End of Assessment: Continuous Probability
    50 xp
  5. 5

    Random Variables and Sampling Models

    Gratuito

    In this chapter, you will learn about random variables and sampling models exploring an example looking at various aspects of the game of chance American Roulette.

    Reproducir Capítulo Ahora
    Exercise 1. American Roulette probabilities
    100 xp
    Exercise 2. American Roulette payout
    100 xp
    Exercise 3. American Roulette expected value
    100 xp
    Exercise 4. American Roulette standard error
    100 xp
    Exercise 5. American Roulette sum of winnings
    100 xp
    Exercise 6. American Roulette winnings expected value
    100 xp
    Exercise 7. American Roulette winnings expected value
    100 xp
    End of Assessment: Random Variables and Sampling Models
    50 xp
  6. 6

    The Central Limit Theorem

    Gratuito

    In this chapter, you will learn about the Central Limit Theorem and compare results from Monte Carlo simulations to those obtained using the Central Limit Theorem for games of chance.

    Reproducir Capítulo Ahora
    Exercise 1. American Roulette probability of winning money
    100 xp
    Exercise 2. American Roulette Monte Carlo simulation
    100 xp
    Exercise 3. American Roulette Monte Carlo vs CLT
    100 xp
    Exercise 4. American Roulette Monte Carlo vs CLT comparison
    50 xp
    Exercise 5. American Roulette average winnings per bet
    100 xp
    Exercise 6. American Roulette per bet expected value
    100 xp
    Exercise 7. American Roulette per bet standard error
    100 xp
    Exercise 8. American Roulette winnings per game are positive
    100 xp
    Exercise 9. American Roulette Monte Carlo again
    100 xp
    Exercise 10. American Roulette comparison
    100 xp
    Exercise 11. American Roulette comparison analysis
    50 xp
    End of Assessment: The Central Limit Theorem
    50 xp
  7. 7

    The Big Short

    Gratuito

    In this chapter, you will learn about interest rates and the big short.

    Reproducir Capítulo Ahora
    Exercise 1. Bank earnings
    100 xp
    Exercise 2. Bank earnings Monte Carlo
    100 xp
    Exercise 3. Bank earnings expected value
    100 xp
    Exercise 4. Bank earnings standard error
    100 xp
    Exercise 5. Bank earnings interest rate - 1
    100 xp
    Exercise 6. Bank earnings interest rate - 2
    100 xp
    Exercise 7. Bank earnings - minimize money loss
    50 xp
    End of Assessment: The Big Short
    50 xp
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