Statistics and probability
Concepts of population, sample, random sample and frequency distribution of discrete and continuous data.
Grouped data: mid-interval values, interval width, upper and lower interval boundaries. Mean, variance, standard deviation.
Concepts of trial, outcome, equally likely outcomes, sample space (U) and event.
The probability of an event A. The complementary events A and A′ (not A). Use of Venn diagrams, tree diagrams, counting principles and tables of outcomes to solve problems.
Combined events; the formula for P(A∪ B) . Mutually exclusive events. Conditional probability. Independent events, the definition. Use of Bayes’ theorem for a maximum of three events.
Concept of discrete and continuous random variables and their probability distributions. Definition and use of probability density functions.
Expected value (mean), mode, median, variance and standard deviation.
Binomial distribution, its mean and variance. Poisson distribution, its mean and variance.
Normal distribution, Properties of the normal distribution. Standardization of normal variables.
http://www.ibmaths4u.com
Concepts of population, sample, random sample and frequency distribution of discrete and continuous data.
Grouped data: mid-interval values, interval width, upper and lower interval boundaries. Mean, variance, standard deviation.
Concepts of trial, outcome, equally likely outcomes, sample space (U) and event.
The probability of an event A. The complementary events A and A′ (not A). Use of Venn diagrams, tree diagrams, counting principles and tables of outcomes to solve problems.
Combined events; the formula for P(A∪ B) . Mutually exclusive events. Conditional probability. Independent events, the definition. Use of Bayes’ theorem for a maximum of three events.
Concept of discrete and continuous random variables and their probability distributions. Definition and use of probability density functions.
Expected value (mean), mode, median, variance and standard deviation.
Binomial distribution, its mean and variance. Poisson distribution, its mean and variance.
Normal distribution, Properties of the normal distribution. Standardization of normal variables.
http://www.ibmaths4u.com
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