# Probability Inferential Statistics

Introduction to Probability Inferential Statistics

Probability is a possibility that an occurrence will happen. In mathematics the idea has been given a right logic in probability theory, that is used broadly in such areas of learn as mathematics, finance, statistics etc. Inferential statistical is the correct science of creating successful use of algebraic data connecting to groups of individuals. Now we will see the examples for probability and inferential statistics.
Examples- Probability

Example 1

In a class there are 6 students got top six marks in maths. The marks are 48,59,67,82,90,100 . What is the probability for the following outcomes?

i) Select the marks are above 60.

ii) Select the marks between 50 and 80.

Solution

i) Take P(A) is the probability for select the marks above 60 .

Given marks are 48,59,67,82,90,100.

Total numbers n(S)=5

Here the following marks are above 60 n(A)={67,82,90,100}=4

So P(A)=`(n(A))/(n(S))`

=`4/6`

=`1/3` .

ii) Take P(B) is the probability for select the marks between 50 and80.

The value 59 and 67 is available between the 50 to 80.So n(B)=2

Total outcomes n(S)=56

So P(B)=`(n(B))/(n(S))`

= `2/6`

=`1/3` .

Example 2

What is the probability for select the letter ‘O’ from the word ‘COOPERATE?

Solution

Given word is COOPERATE

Total letters n(S)=9

Number of ‘O’ letter n(A)=2

So the probability=`2/9` .

Example- Inferential Statistics

Calculate the mean, median and range of the following numbers in statistics?

23,28,31,35,38,45,48.

Solution

The given numbers are 23,28,31,35,38,45,48.

Mean

Average of the numbers are a mean. Can calculate the average with the help of  given numbers.

Sum of the given numbers = 23+28+31+35+38+45+48

= 248.

Total value 248 is divided by 7 (7 is the total numbers) = `248/7`

= 35.4.

Median

Center element of the given series is a median.

The number series is 23,28,31,35,38,45,48.

The center value of the above sequence is 35.

Median=35.

Range

Subtract the minimum value from high value.

Range=48-23

=25.

These are example for probability inferential statistics.