## File: probability-and-statistics.chapt.txt

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yacas 1.3.6-2
 `123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120` `````` Probability and Statistics Probability *INTRO Each distribution is represented as an entity. For each distribution known to the system the consistency of parameters is checked. If the parameters for a distribution are invalid, the functions return {Undefined}. For example, {NormalDistribution}{(a,-1)} evaluates to {Undefined}, because of negative variance. *CMD BernoulliDistribution --- Bernoulli distribution *STD *CALL BernoulliDistribution(p) *PARMS {p} -- number, probability of an event in a single trial *DESC A random variable has a Bernoulli distribution with probability {p} if it can be interpreted as an indicator of an event, where {p} is the probability to observe the event in a single trial. Numerical value of {p} must satisfy \$0