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What is a random variable?
A random variable is a function that assigns unique numerical values to all possible outcomes of a random experiment. A real valued function defined on a sample space of an experiment is also called random variable.
What is the set of all possible outcomes of an experiment?
The set of all possible outcomes of a random experiment is nothing but sample space usually denoted by S. we can also call it as event. For example our experiment is rolling a dice, then our sample space is S= {1,2,3,4,5,6}
What is a study of small group behavior of a selected random sample called?
controlled experiment
Will Random sample always accurately predict the outcomes of an entire population?
No. Only a census can ACCURATELY predict the outcomes: a random sample cannot.
What is the difference between random variable and random variate?
Random variables is a function that can produce outcomes with different probability and random variates is the particular outcome of a random variable.
What is a random variable?
A random variable is a function that assigns unique numerical values to all possible outcomes of a random experiment. A real valued function defined on a sample space of an experiment is also called random variable.
Define a random experiment sample space simple event and compound event?
Experiment cannot be predicted in advance is RANDOM EXPERIMENT...... set of all possible outcomes. outcome that can be predicted with certainity. when an experiment performed repeatedly- called trial. Ex. If a coin is tossed,we can't say,whetefr head or tail will appear .so it is a Random Experiment. Sample Space:-- Possible outcomes of a random experiment.. set of all posssible outcomes.. denoted by--- "S". and no. of elements is denoted by n(s). ex. In throwing a dice ,the number that appears at top is any one of 1,2,3,4,5,6 ,So here: S= 1,2,3,4,5,6 n(s) --- 6
What is the set of all possible outcomes of an experiment?
The set of all possible outcomes of a random experiment is nothing but sample space usually denoted by S. we can also call it as event. For example our experiment is rolling a dice, then our sample space is S= {1,2,3,4,5,6}
It is a set of all posssible outcomes of a random experiment?
The outcome.
What is bernoulli's experiment?
A Bernoulli experiment is a random experiment with only two possible outcomes, typically referred to as success and failure. These outcomes must be mutually exclusive and exhaustive, meaning that one and only one of the outcomes must occur. These experiments are often used in probability theory to model various real-world situations.
Explain probability distribution?
A probability distribution describes the likelihood of different outcomes in a random experiment. It shows the possible values of a random variable along with the probability of each value occurring. Different probability distributions (such as uniform, normal, and binomial) are used to model various types of random events.
What is casino games?
Games available in most casinos are commonly called casino games. In a casino game, the players gamble cash or casino chips on various possible random outcomes
How do i find the sum of outcomes in probability?
Select an experiment that has a random result rather than one that is deterministic. The result of the experiment is the outcome of the probabilistic experiment.
What is the difference between a discrete and continuous random variable?
· A variable whose values are determined by the outcomes of a random experiment is called a random variable. A random variable is a discrete random variable if it can assume values, which are finite or countable infinite. For example, tossing of a die is a random experiment and its outcomes 1, 2, 3, 4, 5 and 6 are discrete random variable. When a coin is tossed, its outcomes head and tail are discrete random variable. Three coins are thrown; the number of heads is example of discrete random variable. Note that the outcomes need ot be integers or even numbers (eg colour of eyes). · If a random variable can assume every possible value in an interval [a, b], a< b, where a and b may be - infinity and + infinity respectively, for example, the points on number line between 0 and 1; Value of 'x' between 0 and 2; Number of heads on a coin when it is tossed infinite times.
What does outcomes and events means in math?
In mathematics, particularly in probability theory, "outcomes" refer to the possible results of a random experiment or event. For example, when flipping a coin, the outcomes are heads or tails. An "event" is a specific subset of outcomes that we are interested in, such as getting heads when flipping the coin. Together, outcomes and events help in analyzing and calculating probabilities.
Why is expected value called long-term average?
Expected value is called the long-term average because it represents the mean outcome of a random variable if an experiment is repeated many times. It takes into account all possible outcomes, weighted by their probabilities, providing a single value that reflects the overall tendency of the random process. Over numerous trials, the average of the observed outcomes will converge to the expected value, demonstrating its role as a reliable predictor of future performance.
What is the definition of a random event in Math?
Random events are events that do not have a determined outcome. The set of possible outcomes for a random event is always greater than one item.
