Definition: distributions, but we must know what is probability

Definition: Probability
can be de defined as branch of mathematics that deals with calculating the
prospect of a given event’s occurrence, which is expressed as a number between
1 and 0. If P(A)
equals zero, event A will almost definitely not occur ;If P(A) is close to
zero, there is only a small chance that event A will occur; If P(A)
equals 0.5, there is a 50-50 chance that event A will occur; If
P(A) is close to one, there is a strong chance
that event A will occur; If P(A) equals one, event A will
almost definitely occur ,For example, Though you throw
A coin, it will come up a head or a tail. Thus there is a prospect for particular case that whichever about these will
happen. A prospect about zero implies that an event may be unthinkable.
In you throw a coin, you can’t get both Ahead Also A tail during the same
time, with the goal this need zero probability. Anything that can happen
yet all the may be not specific will be composed similarly as an amount
less one.






Probability theorems: there are many theorems for probability, but we will
work through five theorems

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theorems helps us to Analysis random phenomena and there 5 theorems that can
help us.

The first Theorem
states that P(A) = 1 ? P(A’)

The second
Theorem states
that P(Ø) = 0 which called  probability
of the
impossible event


The third Theorem
states that If events A and B are such that A ? B, then P(A) ? P(B).


The fourth Theorem
states that
P(A) ? 1.


There are two
types of random variables : The discrete random variable is a
variable which can only take  certain
values (such as 1,2,3,4,5) and has a finite number of possible values
infinite sequence of countable real number but the second type is a continuous
random variable that differs from a discrete random
variable as it takes any value within a range (such as a person’s height) For
example, if we let X denote the height (in meters) of
a randomly selected maple tree, then X is a continuous random variable


Types of probability distributions: there are many types of probability
distributions, but we must know what is probability distributions ; probability distributions, Advises you the thing that the prospect for
a occasion happening may be. And it can indicate simple events, Basic
probability distributions which can be shown on a probability distribution

Binomial distributions, which have “Successes” and “Failures.”

distributions, sometimes called a Bell Curve