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

Probability

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

table.

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

Normal

distributions, sometimes called a Bell Curve