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MATH2099 · Study hub1 days to midterm
Topic bank · by knowledge map
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Learning framework
Build knowledge by lecture · open eachBDescriptive statistics
mean, sample variance / sd
4 topics
CExpectation of random variables
E[X²]=Var+μ², linear combinations, estimators
6 topics
DFive key distributions
binomial / Poisson / uniform / exp / normal
8 topics
ESampling distributions & CLT
sum ~ N(nμ,nσ²), mean ~ N(μ,σ²/n)
5 topics
FConfidence intervals & proportions
t-interval, proportion margin of error
5 topics
Knowledge map
20 topics → only 8 solution families · open eachFam 1Data → mean / sample sd / t-CI
4 topics
Fam 2Normal quantile z* + proportion ME
1 topics
Fam 3Binomial + expected value
2 topics
Fam 4CLT: sum / mean probability + solve-back
5 topics
Fam 5Poisson + expected cost
2 topics
Fam 6Continuous (exp / pdf) + binomial
3 topics
Fam 7Uniform: quantile + expectation
1 topics
Fam 8Estimators: unbiased / consistent
2 topics
Topic bank
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Family
Topic 1New
z* and margin of error for a proportion
50
Topic 2New
Estimator from first three observations
27
Topic 3New
Proportion estimator
23
Topic 4New
Power outage durations
15
Topic 5New
Prawns, CLT on a sum
14
Topic 6New
Cold start ignition time
14
Topic 7New
Weld gap
14
Topic 8New
Solar collectors, binomial + expected power
12
Topic 9New
Lift max load, CLT on a sum
11
Topic 10New
Daily yield, CLT on a mean
9
Topic 11New
Production line, binomial + expected revenue
8
Topic 12New
Bolts, two-sided spec + solve for n
8
Topic 13New
Radio tube, given pdf → integrate
8
Topic 14New
Tree heights, CLT + solve for n
8
Topic 15New
Water pH
7
Topic 16New
Mobile phone, exponential → binomial
7
Topic 17New
Cyclones, Poisson + expected damage
5
Topic 18New
Surveillance camera, exponential → binomial
4
Topic 19New
Laptop repair, uniform distribution
4
Topic 20New
Machine failures, Poisson + expected cost
2