Exam 1

  1. Metainformation

    Tag Value
    fileDistributions_uva-binomial-733-en_uva-binomial-733-en
    nameuva-binomial-733-en
    sectionDistributions/Discrete/Binomial
    typeschoice
    solutionFALSE, FALSE, FALSE, TRUE, FALSE
    TypeConceptual
    LanguageEnglish
    LevelStatistical Literacy
    IRT-Difficulty2.06
    p-value0.5472

    Question

    Vase I contains nine red balls and one white ball. Vase II contains six red and four white balls. We repeat 20 times in a row the following experiment:

    1. First, throw a pure die. 2. If the number of eyes is divisible by three, randomly choose a ball from vase I. Otherwise, randomly pick a ball from vase II.

    After each repetition, the selected ball is returned to the vase from which it was taken. from which it was taken.Ê  Which of the following statements is correct?


    1. FALSE: The number of red balls chosen is binomially distributed with n=20 and p=0.90.
    2. FALSE: The number of red balls chosen is binomially distributed with n=20 and p=0.60.
    3. FALSE: The number of red balls chosen is binomially distributed with n=20 and p=0.75.
    4. TRUE: The number of red balls chosen is binomially distributed with n=20 and p=0.70.
    5. FALSE: The probability distribution of the number of red balls chosen is not a binomial distribution at all.

    1. The number of red balls chosen is binomially distributed with n=20 and p=0.90…: Incorrect
    2. The number of red balls chosen is binomially distributed with n=20 and p=0.60…: Incorrect
    3. The number of red balls chosen is binomially distributed with n=20 and p=0.75: Incorrect
    4. The number of red balls chosen is binomially distributed with n=20 and p=0.70: Correct
    5. The probability distribution of the number of red balls chosen is not a binomial distribution at all…: Incorrect