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Calculus/IBSL Analysis and Approaches Y2
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In this unit students will cover the following IBSL Analysis and Approaches Standards:
SL 4.5
Concepts of trial, outcome, equally likely outcomes, relative frequency, sample space (U) and event.
The probability of an event A is P(A) = n(A)/n(U)
The complementary events A and A′ (not A).
Expected number of occurrences.
SL 4.6
Use of Venn diagrams, tree diagrams, sample space diagrams and tables of outcomes to calculate probabilities.
Combined events:
P(A ∪ B) = P(A) + P(B) − P(A ∩ B).
Mutually exclusive events: P(A ∩ B) = 0.
Conditional probability: P(A|B) = P(A ∩ B)/P(B)
Independent events: P(A ∩ B) = P(A)P(B).
SL 4.7
Concept of discrete random variables and their
probability distributions.
Expected value (mean), for discrete data.
Applications.
SL 4.8
Binomial distribution.
Mean and variance of the binomial distribution.
SL 4.9
The normal distribution and curve.
Properties of the normal distribution.
Diagrammatic representation.
Normal probability calculations.
Inverse normal calculations
SL 4.11
Formal definition and use of the formulae:
P(A|B) = P(A ∩ B)/P(B) for conditional probabilities, and
P(A|B) = P(A) = P(A|B′) for independent events.
SL 4.12
Standardization of normal variables (z- values)
Inverse normal calculations where mean and standard deviation are unknown.
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I
B Diploma Program Mathematics: Analysis & Approaches Guide
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IBSL Analysis and Approaches Y1
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HL STUDENTS: Sequences and Series and Matrices
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Calculus/IBSL Analysis and Approaches Y2
This Week During Calculus
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