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    IB Math AAHL
    /
    Distributions & Random Variables
    /

    Video

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    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Distributions & Random Variables

    Video Reviews

    Watch comprehensive video reviews for Distributions & Random Variables, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    HL

    The video will automatically pause when it reaches a problem.

    Concept of Probability density

    AHL 4.14

    A continuous random variable X is a variable that can take any value in a specific range, eg 0<X<1.


    Since there are infinitely many possible values, the probability of any specific value is 0. Instead, you have to consider the probability that the value of X will fall within some specific range.


    This probability is the area under a curve:

    P(a≤X≤b)=∫ab​f(x)dx🚫

    The function f(x) is called the probability density function. Its values are not probabilities - since P(X=x)=0 - but instead an abstract measure of how "densely packed" the probability is around each point.


    Powered by Desmos

    Concept of Probability density

    AHL 4.14

    A continuous random variable X is a variable that can take any value in a specific range, eg 0<X<1.


    Since there are infinitely many possible values, the probability of any specific value is 0. Instead, you have to consider the probability that the value of X will fall within some specific range.


    This probability is the area under a curve:

    P(a≤X≤b)=∫ab​f(x)dx🚫

    The function f(x) is called the probability density function. Its values are not probabilities - since P(X=x)=0 - but instead an abstract measure of how "densely packed" the probability is around each point.


    Powered by Desmos

    HL