ChristoAnd.com

Author: Chris

  • Set Theory, in terms of Venn Diagrams

  • Wavelengths’ mean and variance

    The simplest of discrete random variables is one that assumes only a finite number of possible values, each possessing an equal probability. As we can see from the question given, this is a uniformly distributed, a continuous distribution with constant probability function.

    For Mean and Variance,

    Suppose X is a discrete uniform random variable on the consecutive integers a, a+1, a+2, …, b, for a ≤ b. The mean of X is …

  • Selected at random, without replacement (Exmpls.)

    Now, answer the following:

    a.) What is the probability that the second one selected is defective given that the first one was defective? Round your answer to five decimal places (e.g. 0.65432)

    b.) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 8765432)

    Three containers are selected, at random, without replacement from the batch.

    d.) What is the probability that the third one selected is defective given that the first one selected was defective and the second one selected was okay? Round your answer to five decimal places (e.g. 0.98765)

    \frac{6-2}{496-2}=\frac{4}{494}=0.008

  • The Role of Statistics in Engineering

    Statistical methods are used to help us describe and understand variability.

    statistical thinking can give us a useful way to incorporate this variability into our decision-making processes.

    Dot diagram is useful for …. seeing features for small data sets, finding location of middle data set, comparing two small data sets, seeing the variability in the data sets.

    When we use a sample to make statements about or to draw conclusions, we are using statistical inference.

  • Exmpls. of Factors

    Example: Gas mileage

    – Windows up or down
    – Velocity + acceleration
    – Road conditions
    – City vs. Highway
    – Tire pressure
    – Engine efficient
    – Gas quality/type

    If relationship between factors and gas milage is linear, then we can create a linear model for the gas mileage.

    Y : gas mileage
    x1, x2, … , x9 : factors

  • Similar English & Haitian Creole words

    EnglishHaitian Creole
    environmentanviwoman
    guaranteegaranti
    exactlyegzakteman
    tricktrik
    associateasosye
    problempwoblèm
    lessonleson
    adoptadopte
    exampleegzanp
    especiallyespesyalman
    passionpasyon
    methodmetòd
    restrès
    introduceentwodui
    techniqueteknik
    memorizememorize
    vocabularyvokabilè
    tootou
    languagelang
    suggestsigjere
    verbvèb
    mentalmantal
    definitiondefinisyon
    expressionekspresyon
    simplesenp

  • Laplace Transform

    \begin{aligned} \mathcal{L}{ f(t)}&=\int_0^{\infty} e^{-st}f(t)\;\mathrm{d}t \ = \frac{f(t)e^{-st}}{-s}\end{aligned}

  • McDonald’s Target Temperatures

    ProductTemperature (F)
    Sausage155+
    Steak155+
    Round Egg155+
    Fish155+
    Beef (Regular Meat)155+
    Fresh Beef (Quarter)175-190
    Chicken165+

  • Communications Project #2: 10 Statically Determinate Beams

    Features a report on 10 statically determinate beams, given by the professor.

    egn3311-communications-2-beam-project

  • What are the Statics of Particles?

    When the resultant of all the forces acting on a particle is zero, the particle is in equilibrium.

    With that being said, the equations of equilibrium are:

    \sum F_{x} =0 \\ \space\\ \sum F_{y} =0

    To maintain equilibrium, it is necessary to satisfy Newton’s 1st Law of Motion.