# Probability and statistics problem questions

Please only apply if you excel in these topics.

Topics are ;

Foundations of Probability:

•Basic Set theory; Definitions, notations, operations and Venn diagrams

• Set identities, Sample Spaces and Events

• Probability Axioms and Corollaries, Methods of Assigning Probabilities

Conditional Probability:

• Independence, Theorem of Total Probability, Bayes Rule

Sequential Experiments and Counting Principles:

•Multiplication Rule, Permutations, Combinations, Distinguishable Permutations

Discrete Random Variables and Probability Distributions:

• Probability Mass function and Cumulative Density Function; Special Discrete Random

Variables: Bernoulli, Binomial, Geometric, Poisson, Uniform Distribution

• Mathematical Expectation, Variance and Standard Deviation of Discrete Random

Variables, Properties of Expectation

Continuous Random Variables:

• PDF, CDF and properties; PDF and CDF of transformation of random variables

• Mathematical Expectation, Variance and Standard Deviation of Continuous Random

Variables; properties of expectation and variance

• Important Continuous Random Variables in Electrical Engineering: Uniform, Exponential,

Gaussian (Normal), Regular and Standard Gaussian distributions

• Q-function and Error Function; Applications and examples

Basic Reliability Calculations

• Failure distribution, Reliability function, failure rate function, mean-time-to-failure,

reliability of series and parallel systems

Bivariate random variables

• Joint PMF, PDF and CDF for Discrete and continuous random variables, Marginal

distributions: Discrete and continuous random variables

• Conditional PDF and CDF; Conditional Expectations of Discrete and continuous random

variables; Independence

• Correlation, Covariance and correlation coefficient

Sums of random variables:

• Mean and Variance of Sums of Two Random Variables

• Moment generating functions and joint PDFs of independent random variables

• The Central limit theorem

Sample statistics:

• Sample mean, variance, covariance and correlation coefficient

• Empirical Distribution, Quantile-Quantile plots and Goodness of Fit

Estimation Theory and Applications:

• Desirable properties of Estimators, The Maximum likelihood estimators

• Point and interval estimation, confidence interval

Hypotheses Testing:

• Definitions and Binary hypothesis testing

• Test concerning mean and variance; critical intervals and decision making

Introduction to Random Processes: Statistical Descriptions of Random Processes

• One random process: Mean, mean-square, variance, auto-correlation, auto-covariance

• Two random processes: cross-correlation cross-covariance

• Stationary and non-stationary random processes; Time averages and ergodicity; White

noise process

There are around 8 written problems which I need the solution to. I'll send pictures of the problem at dec 16 5:00 pm est and I need all answers by dec 16th 9:15 pm est but also answers as each question is finished.

I'll provide some reference problems and content to look at so the freelancer has idea of what kind of questions and related topics will be asked.

Færdigheder: Statistikker

Om arbejdsgiveren:
( 14 bedømmelser ) edmonton, Canada

Projekt-ID: #12521712

## Tildelt til:

mahmoudmnasr95

I have experience in all of the mentioned topics. I also can solve problems on these topics analytically, or by using Excel or even Minitab. Please provide more information about the project through a message! I promis Mere

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Arkabrata

I have done my PHD in Statistics and now I am a lecturer.I can surely help [url removed, login to view] can check my reviews if you [url removed, login to view] let me know the [url removed, login to view] work with me once and you will surely hire me [url removed, login to view] we have a Mere

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Calleus

Hi, I have strong background in Research, Reporting, Statistics, quantitative and qualitative analysis and experience in SPSS, STATA and excel. I have over 9 years of experience with SPSS. Let me help you. Daily writes Mere

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IdeaCentre

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bravewealth1

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data science and analytics professional with excellent coding skills in R and Python . An insatiable intellectual curiosity, and the ability to mine hidden information located within large sets of structured, semi-st Mere

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vtatarenko

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