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    Random Exp

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    Anjali
    A random experiment is an experiment that can be repeated under the same conditions and has outcomes that are independent and identically distributed. Examples include tossing a coin, rolling a die, or measuring the time between messages. In statistics, random experiments are used to observe uncertain events and make inferences based on repeated trials. A random variable assigns a number to each outcome of a random experiment. The set of all possible outcomes is called the sample space. Probability is calculated based on the number of favorable outcomes over the total number of outcomes.

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    Random Exp

    Uploaded by

    Anjali
    80 views9 pages
    A random experiment is an experiment that can be repeated under the same conditions and has outcomes that are independent and identically distributed. Examples include tossing a coin, rolling a die, or measuring the time between messages. In statistics, random experiments are used to observe uncertain events and make inferences based on repeated trials. A random variable assigns a number to each outcome of a random experiment. The set of all possible outcomes is called the sample space. Probability is calculated based on the number of favorable outcomes over the total number of outcomes.

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    QUANTITATIVE TECHNIQUES

    Original Title

    RANDOM EXP

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    A random experiment is an experiment that can be repeated under the same conditions and has outcomes that are independent and identically distributed. Examples include tossing a coin, rolling a die, or measuring the time between messages. In statistics, random experiments are used to observe uncertain events and make inferences based on repeated trials. A random variable assigns a number to each outcome of a random experiment. The set of all possible outcomes is called the sample space. Probability is calculated based on the number of favorable outcomes over the total number of outcomes.

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    © All Rights Reserved
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    Download as pptx, pdf, or txt
    80 views9 pages

    Random Exp

    Uploaded by

    Anjali
    A random experiment is an experiment that can be repeated under the same conditions and has outcomes that are independent and identically distributed. Examples include tossing a coin, rolling a die, or measuring the time between messages. In statistics, random experiments are used to observe uncertain events and make inferences based on repeated trials. A random variable assigns a number to each outcome of a random experiment. The set of all possible outcomes is called the sample space. Probability is calculated based on the number of favorable outcomes over the total number of outcomes.

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    of 9

    RANDOM

    EXPERIMENT
     A Random Experiment is an experiment, trial, or observation
    that can be repeated numerous times under the same
    conditions. The outcome of an individual random experiment
    must be independent and identically distributed.
     A random experiment is an experiment or a process for which

    the outcome cannot be predicted with certainty.


    Examples of Random experiment include:

     The tossing of a coin. The experiment can yield two


    possible outcomes, heads or tails.
     The roll of a die. The experiment can yield six

    possible outcomes, this outcome is the number 1 to 6 as


    the die faces are labelled.
     The time difference between two messages arriving at a

    message centre. This experiment can yield any number


    of possible outcomes
     The time difference between two different voice calls over a
    particular network. This too can yield any number of
    possible outcomes.
    Random Experiment in statistics 

     In statistics, the random experiment is the observation


    of events having uncertain outcomes. For example, in a
    bag ten bulbs are there among which few are defective.
    If you start taking out one bulb at a time and check if it
    is defective or not, this will be known as a trial.
    Observations are made from each trial, and in the end a
    statistical inference is made out of it. The number of
    repetitions of experiment is known as size of
    experiment. The statistical inference depends a lot on
    the size of experiment.
    Random Experiment and random variable
     A random experiment, as we have already discussed, is a
    process of observing events with uncertainty whose set of
    outcomes is known as sample space. A random variable is
    a function which maps every member of the sample space
    to a real number. It can be represented as f:S→R. The
    value of random variable is dependent on the output of
    the experiment. It can be denoted  by a capital letter. For
    example, if a die is rolled the sample space, S = {1, 2, 3,
    4, 5, 6}.The probability of a 6 coming in the outcome can
    be written as P(X=6). A random variable can be discrete
    or continuous based on the type of value it can take.
    Random Experiment and Sample Space

     The output of a random experiment is known as an


    outcome or event .The set of all the outcomes of a
    random experiment is known as sample space. If we
    toss a coin, it becomes a random experiment as  the
    output is uncertain. The output can be head or tail.
    Then the sample space becomes s= Head or Tail
    Random Experiment in Probability

     Random experiment is defined with its set of outcomes


    known as sample space. When a random experiment is
    carried out, the probability of getting a certain output is
    calculated on the basis of number of favourable
    outcomes and total number of outcomes. If number of
    favourable outcomes is n(E) and total number of
    outcomes is n(S) then the probability of occurrence if
    getting an output E will be
    P(E) = n(E)/n(S),
    THANK YOU

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