Random Experiment

Introduction

This assignment will be shedding light on the concept of a random experiment. The significance of the random experiments will also be highlighted in this respective assignment. On top of that, numerous advantages and disadvantages associated with random experiments will be critically analysed with the help of suitable examples. Suitable frequently asked questions associated with the concept of a random experiment would also be discussed in the latter parts of this assignment. Keywords, recommendations and concepts of random experiments will be answered through these respective sets of frequently asked questions as well. 

Random Experiment

The process of conducting random experiments can be referred to as experiments that can be performed multiple times under the same provided conditions. Despite this factor, the respective outcomes associated with these experiments cannot be predicted with 100 percent certainty. The set of all these possible outcomes can be referred to as the respective sample space of the random experiment. It can also be considered as the experiment in which not all the possible outcomes will be known but the exact outcome amongst this set can be predicted precisely in advance. A random experiment can be performed several times under the same sets of conditions being provided. The probability of a provided random experiment can be provided by determining the ratio between the number of favourable outcomes and the total number of possible outcomes. 

Random experiments can also be associated with the assumptions of free statistical tests regarding the equality of treatments. Thus, it can be presumed that a random experiment will be characterised by performed according to some set of rules. Finally, yet importantly, all the respective results associated with the process of random experiments will be dependent on the chances and will not be predicted uniquely.  

Significance of Random Experiment

The process of random experiments can be associated with numerous benefits. Ensuring the fact that all the members of the respective group in the experiment will be the same can be considered one of the primary benefits of utilizing the random experiment. This signifies that the respective group will be more likely to be representative of being a part of the larger population or the respective sample space. On top of that, it can also ensure the elimination of any kind of selection biases associated with the respective experiment. That way it will tend to play a key role in regards to balancing the respective groups. 

Example of a random experiment 

Some common examples of a random experiment will be tossing a coin and rolling a die. Tossing a coin will lead to the possible outcome of either getting a head or a tail. The respective outcome of this experiment cannot be pre-determined. There will be a 50 percent chance of getting a head. Similarly, there will be another 50 percent chance of getting a tail. This experiment can also be conducted several times under the same sets of circumstances. This can also be represented as sample space, s = {H, T}. 

Similarly rolling a die can lead to the outcome of displaying any number from 1 to 6. This is because each of the 6 sides of a fair die will be representing the numbers 1, 2, 3, 4, 5 and 6. This respective die can be rolled numerous times under the same sets of circumstances and the result will remain unknown. This can also be represented as sample space, s = {1, 2, 3, 4, 5, 6}. The probability of knowing the outcome by rolling a fair die, for example, will be an even number. Thus, this event can be represented as E = {2, 4, 6}.

Conclusion 

Consequently, it can be concluded that random sampling will be capable of ensuring the fact that results obtained from the selected sample will be approximate. It can allow all the units of this respective population to have equal chances of being selected for the experiment. That way a subset of the statistical population will tend to be formulated and each of these respective members of these subsets will be likely to be selected. Thus, it can be presumed that random experimenting will be capable of playing a prospective role in the daily lives of the respective citizens of the UK.