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Perplex
Perplex
Dashboard
Topics
Exponents & LogarithmsApproximations & ErrorSequences & SeriesMatricesComplex NumbersFinancial Mathematics
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Review VideosFormula BookletMy Progress
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Perplex

Inference & Hypotheses (Lesson 6/6)

Binomial & Poisson Tests

1 / 6

Discussion

A ​6​-sided die is rolled ​40​-times, and a ​1​ is obtained ​11​ times. Let ​X​ be the number of ​1​s rolled.

(a)

State the distribution of ​X​ assuming the die is fair.

Solution:

This is a classic binomial distribution:

​
X∼B(40,61​)
​

Inference & Hypotheses (Lesson 6/6)

Binomial & Poisson Tests

1 / 6

Discussion

A ​6​-sided die is rolled ​40​-times, and a ​1​ is obtained ​11​ times. Let ​X​ be the number of ​1​s rolled.

(a)

State the distribution of ​X​ assuming the die is fair.

Solution:

This is a classic binomial distribution:

​
X∼B(40,61​)
​