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The Shapes of Chance: Probability & Statistics: Uncharted

Courses Probability & StatisticsThe Shapes of Chance

The Shapes of Chance

Build, compare, simulate, and interpret binomial, waiting-time, and other probability distributions.

Probability & Statistics
Unit 6 of 12
20 lessons
155 min
420 XP

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Lessons

20 total

1A Variable with MoodsRecognize a random variable as a numerical summary of chance outcomes.InteractiveConcept7 min20 XPOpen
2Draw the DistributionBuild a fair-die probability distribution whose bars exhaust the sample space.InteractiveConcept8 min20 XPOpen
3Watch It SettleDistinguish volatile short-run frequency from stable long-run behavior.InteractiveConcept7 min20 XPOpen
4Count the SuccessesIdentify the defining conditions of a binomial random variable.InteractiveConcept7 min20 XPOpen
5Two of ThreeCompute an exact binomial probability from equally likely trial strings.InteractiveConcept8 min20 XPOpen
6The Choose AppearsUse a combination count inside a binomial probability.InteractiveConcept8 min20 XPOpen
7Binomial ShapesCompare how success probability shifts and reshapes a binomial distribution.InteractiveConcept7 min20 XPOpen
8Free-Throw StreaksInterpret streaks as ordinary variation in independent Bernoulli trials.InteractiveConcept7 min20 XPOpen
9Binomial WorkoutSolve varied fixed-trial success-count problems.InteractivePractice9 min20 XPOpen
10How Long UntilRecognize a waiting-time random variable.InteractiveConcept7 min20 XPOpen
11The Geometric FadeCompute the probability that the first success occurs on a specified trial.InteractiveConcept8 min20 XPOpen
12Gambler's Fallacy AutopsyReject the belief that an independent drought makes success due.InteractiveConcept7 min20 XPOpen
13Waiting WorkoutCompute first-success probabilities and interpret their tail.InteractivePractice9 min20 XPOpen
14Skew EntersConnect a long waiting-time tail with right skew and separated centers.InteractiveConcept7 min20 XPOpen
15Uniform and FlatFind probability as a share of length under a uniform distribution.InteractiveConcept8 min20 XPOpen
16Add Two DiceBuild the triangular distribution of sums from two fair dice.InteractiveConcept8 min20 XPOpen
17Shape WorkoutClassify and reason about common discrete distribution shapes.InteractivePractice9 min20 XPOpen
18Which DistributionMatch chance stories to binomial, waiting-time, and uniform models.InteractiveConcept7 min20 XPOpen
19Simulate to DecideUse repeated modeled outcomes to estimate an operational risk.InteractiveConcept7 min20 XPOpen
20Distributions Mastery CheckCombine binomial counting, waiting-time structure, and distribution shape.InteractiveMastery check10 min40 XPOpen

What to Expect The Bell Curve