It is divided into two parts Discrete Probability Distribution Function and Continuous Probability Distribution Function. Discrete Probability Distribution Function: Discrete means a variable that takes values from afinite or countable set, Lets say when we roll a dice we might get the value in between 1 to 6. When we roll a dice the probability of gettingContinue reading “Probability Distribution Function”
Category Archives: Distributions
Uniform Distribution
A uniform distribution, sometimes also known as a rectangular distribution, is a distribution that has constant probability. It is defined by two parameters a and b where a is minimum and b is maximum Lets solve the below problem. What is the probability of x >20 (P(x>20)) and x will be uniform distributed with parameters a=10Continue reading “Uniform Distribution”
Uniform Distribution exercice 2
Let’s say x is uniformly distributed with beginning a = 20 and ending b = 40, Now solve the below questions. Calculate P(x>30) Calculate P(30<x<80) Calculate P(0<x<10) We already seen how to calculate height and width(Qbase) in our previous post.If the draw a uniform distribution for the given parameters this how it looks like CalculateContinue reading “Uniform Distribution exercice 2”
Standardization Normal distribution or Z-Distribution
The major difference between Normal and standard distribution is in standard distribution the mean will be zero and standard deviation will be one where in normal distribution both mean and standard deviation will be one. Below is the sample image that represents standard normal distribution. Source homeworkfactory Now from the above standard Normal distribution. whatContinue reading “Standardization Normal distribution or Z-Distribution”
Exercise for Z values
We will solve some simple problems to identify the area using z table. Below image will tells you which Z table we need to use. z tables. P(Z>2.4) We need to look in to right z table as it is greater than mean 0.As per the table, the value is 0.4918 (look at the column 2.4Continue reading “Exercise for Z values”
Normal distribution and exercise
In normal distribution standard deviation will be one and mean will be greater than zero, where in standard normal distribution mean will be zero and standard deviation will be one. We can very well convert normal distribution to standard/Z distribution with below formula.Because Z table is very easy to find the probability area. We haveContinue reading “Normal distribution and exercise”
Factorials and Combination
We might have heard about Factorials right from our childhood and also one of the best example learning any programming language. In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positiveintegers less than or equal to n. For example, 5 ! = 5 * 4 * 3 * 2 * 1 = 120 4!Continue reading “Factorials and Combination”
Binomial distribution
A binomial distribution is a probability of SUCCESS or FAILURE in an experiment that is repeated many times. It is call Binominal because we will have only two outcomes. Binomial is a discrete because the values are fixed For Eg: I want to roll a dice and expecting six, I will either get six (SUCCESS)Continue reading “Binomial distribution”
How to calculate area using left and right Z table
We need to find the left area of the Z score 0.70 ,see the below.screenshot for more idea First we will find area by using below left Z table. Step 1: If we have any second level decimal values like 0.71 then we need to split in to 0.7 and 0.01, see the above tableContinue reading “How to calculate area using left and right Z table”
Z table transformation
We will use below table to calculate our probability. Fig 1: Lets solve some of the below problems to get more idea on transformation. What is the probability of P(z<=1.5) We need to find out the below highlighted area. To find the answer using the Z-table(see the Fig 1:), find whereContinue reading “Z table transformation”
Data and Machine by viswateja 