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القناة الأساسية
@stepbystep001

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Simple Event : is a collection of more than one outcome for an experiment
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An event that includes one and only one of the (final) outcomes for an experiment
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Simple Event
11%
Compound Event
is a numerical measure of the likelihood that a specific event will occur
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statistics
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Probability
Σ p(Ei) = …..
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0
3%
-1
85%
1
1%
2
rule is applied to compute the probabilities of events for an experiment for which all outcomes are equally likely.
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Relative frequency concept of probability
6%
Subjective probability concept
67%
Classical Probability
The probability that a randomly selected family owns a home
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Classical Probability
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Subjective probability concept
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Relative frequency concept of probability
Subjective probability is the probability assigned to an event based on subjective judgment, experience, information, and belief
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is the probability of a single event without consideration of any other event
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Marginal probability
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Conditional probability
Marginal probability is also called simple probability
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Events that cannot occur together are said to be ….
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mutually exclusive events.
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mutually nonexclusive events
Two events are said to be …. if the occurrence of one does not affect the probability of the occurrence of the other
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dependent
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independent
P(A) + P(A’) = …
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0
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The probability of the intersection of two events is called their … probability
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join
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joint
In independent events P(A and B) =
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P(A) P(A|B)
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P(B) P(B|A)
5%
P(A) P(A|A)
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P(A) P(B)
Random variable
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discrete
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continuous
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Any of them
A random variable that assumes countable values is called a
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discrete
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continuous
The time taken to commute from home to work
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discrete random variable
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continuous random variable
PD of DRV lists all the possible values that the random variable can assume and their corresponding probabilities.
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The mean of a discrete random variable 𝑥 is also called its expected value and is denoted by 𝐸(𝑥)
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𝝁 = 𝜮𝒙𝑷(𝒙)
𝑬(𝒙) = 𝜮𝒙𝑷(𝒙)
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