Probability Distributions skill check
Random variables, the binomial, geometric, hypergeometric, Poisson, uniform, exponential and normal models, quantiles, critical values and model checking — on fresh numbers. 12 questions, 30 minutes, 70% to pass.
- Questions
- 12
- Time
- 30 min
- Pass mark
- 70%
- Retake after
- 6 h
Skills covered
Classify random variables as discrete or continuous · Use a pmf, pdf or cdf · Calculate the mean and variance of a random variable · Check the binomial conditions · Calculate binomial probabilities · Use the binomial mean and standard deviation · Use the geometric distribution · Use the hypergeometric distribution · Calculate Poisson probabilities · Fit a Poisson model and check for overdispersion · Use the continuous uniform distribution · Use the exponential distribution for waiting times · Calculate normal probabilities · Apply the 68–95–99.7 rule · Standardise values with z-scores · Solve inverse normal problems · Explain where the t, chi-square and F distributions come from · Choose the right degrees of freedom · Find critical values for one and two tails · Find quantiles of a distribution · Choose a distribution for a situation · Check a distributional assumption with data · Use and judge the normal approximation to the binomial
Covers Track 5: Probability Distributions. Passing it, together with completing every lesson, earns the track certificate.
How it works
- Questions are drawn from this assessment's own bank, with numbers generated for your attempt.
- Your answers save automatically. Nothing is graded until you submit or the time runs out (the server keeps the time).
- No hints or feedback during the attempt; full worked solutions afterwards.
- You may use a calculator, the lab and your notes. The assessment is not proctored.