Probability & Statistics Professional Certification
Reason under uncertainty — from descriptive statistics to inference and regression
Key facts
- Level: Professional
- Field: Mathematics
- Estimated study time: about 34 hours
- Credential price: $149
- Exam: 95 questions · 150 minutes · pass mark 75%
About the Probability & Statistics Professional certification
The Probability & Statistics Professional certification proves you can reason rigorously about uncertainty, data and evidence — the core skill behind data science, machine learning, experimental research, finance and quality engineering. You will master descriptive statistics (central tendency, dispersion, quartiles and IQR, skewness, kurtosis and z-scores); the foundations of probability (sample spaces, the axioms, conditional probability, independence, Bayes' theorem and combinatorics); random variables and their PMFs, PDFs, CDFs, expectation, variance and moments; the standard distributions (Bernoulli, binomial, Poisson, geometric, uniform, exponential, normal, Student's t, chi-square and F) and when each applies; the central limit theorem and sampling distributions; estimation (point and interval estimators, confidence intervals, and an introduction to maximum likelihood); hypothesis testing end-to-end (null and alternative hypotheses, Type I and Type II errors, p-values, power, and the z, t, chi-square, ANOVA/F test families); correlation, covariance and simple and multiple linear regression (least squares, R-squared, residuals and assumptions); an introduction to non-parametric tests and Bayesian inference; experimental design and A/B testing; and the statistical fallacies that fool practitioners. Every topic is taught and tested with worked, numerical examples — you finish able to choose the right method, run the computation, and interpret the result honestly. It builds directly on algebra and pre-calculus and is the natural bridge into data science and machine-learning credentials.
What you will learn
The official Probability & Statistics Professional study course covers:
- Describing Data — Central tendency, dispersion, quartiles and shape — summarising data honestly.
- Probability & Bayes — Sample spaces, the axioms, conditional probability, independence, Bayes and counting.
- Random Variables & Distributions — PMF/PDF/CDF, expectation and variance, and the standard distribution families.
- Sampling, the CLT & Estimation — Sampling distributions, the central limit theorem, standard error and confidence intervals.
- Hypothesis Testing — The logic of testing, errors and power, p-values, and choosing the right test.
- Relationships, Regression & Design — Correlation, least-squares regression and diagnostics, Bayesian updating, A/B testing and fallacies.
Prerequisites
Frequently asked questions
- Is the Probability & Statistics Professional certificate verifiable?
- Yes. Every issued Hootix Academy certificate carries a unique credential code that anyone can verify online.
- How is the Probability & Statistics Professional exam structured?
- It is a 150-minute proctored multiple-choice exam of 95 questions; you need 75% to pass.
- Do I need to buy the course to take the exam?
- You can purchase the certification exam on its own, or bundle it with the full study course at a reduced price.
- How long does the Probability & Statistics Professional course take?
- About 34 hours of self-paced study.