Exam 1

  1. Metainformation

    Tag Value
    fileProbability_uva-expected-value-739-en_uva-expected-value-739-en
    nameuva-expected-value-739-en
    sectionProbability/Elementary Probability/Random variables/Expected value
    typeschoice
    solutionFALSE, FALSE, TRUE, FALSE
    TypeConceptual
    LanguageEnglish
    LevelStatistical Literacy
    IRT-Difficulty2.205
    p-value0.5023

    Question

    The Belgian state lottery operates at the end of each year with lottery tickets on which six-digit numbers are listed. So one can choose a number that lies between 000000 and 999999. The winning lottery ticket earns the winner €; 750,000. The probability of drawing a winning lottery ticket, when purchasing one lottery ticket, is 0.000001. The probability distribution for X (= the amount of money one received) is as follows:

    ———– ———- ———– Price X €0 €750,000 Chance 0.999999 0.000001 ———– ———- ———–

    A lottery ticket costs €;2.50 this year. How many euros does the Belgian State in the long run per lottery ticket? Choose from the options below.


    1. FALSE: € 0,75
    2. FALSE: € 1,25
    3. TRUE: € 1,75
    4. FALSE: € 1,95

    1. € 0.75: Incorrect
    2. € 1,25: Incorrect
    3. € 1,75: Correct
    4. € 1.95: Incorrect