Introduction For Letter Of Explanation Sample

Introduction for letter of explanation sample:

In letter of explanation sample, given a random sample 'X_1','X_2', ...,'X_n' from a population X with probability distribution f(x; 'theta'), where 'theta' is a parameter, a statistic is a function T of 'X_1', 'X_2', ...,'X_n', that is

T = T ('X_1', 'X_2', ... ,'X_n')

Which is free of the parameter 'theta'. If the distribution of the population is known, then sometimes it is possible to find the probability distribution of the statistic T. The probability distribution of the statistic T is called the sampling distribution of T for letter of explanation sample.

Definition for Letter of Explanation Sample:

In letter of explanation sample, a set is a compilation of points, or objects, which please specified criteria. For example, if we flip a two-sided coin N tosses, and each toss outcome is either a head H or a tail T, each outcome is an element of the set. If the set of N elements represent all possible outcome of the test, then the set S is called the sample space S. There is only one element in the set S corresponding to each result of the experiment, such as the toss of a coin. An element in the sample space is called a trial point or a simple event. An incidence is a subset of the sample space S. A discrete sample space contains a finite number of elements, while a continuous sample space typically contains the outcomes of measurements of incessant physical properties such as speed and temperature.

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Examples for Letter of Explanation Sample:

Example 1:

In letter of explanation sample, what is the sample space for an experiment in which we select a rat at random from a cage and determine its sex?

Solution:

The sample space of this experiment is

S = {M, F}

Where M denotes the male rat and F denotes the female rat.

Example 2:

In letter of explanation sample, what is the sample space for an experiment in which the state of Kentucky picks a three-digit integer at random for its daily lottery?

Solution:

The sample space of this experiment is

S = {000, 001, 002, , 998, 999}.

by: Omkar Nayak

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