Variance and Standard Deviation are both essential concepts in statistics and finance. Let’s explore the differences between them: Variance: Definition: Variance is a numerical value that describes the variability of observations from their arithmetic mean. Calculation: To find the variance, calculate the squared differences between each data point and the mean, then average these squared […]
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Suppose you want to solve an equation x2+1=0 then you will get x=√-1 which does not belongs to real number system. Leonhard Euler proposed to write √-1 as i (iota) and gave concept of complex numbers. Integral Power of i (iota) i2=-1, i3=-i, i4=1 i5=i, i6=-1, i7=-1, i8=1
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Random variable is a very important concept in probability, statistics, data science and machine learning, one must learn concept of random variable and related concepts. In this post, I have explained random variable and probability mass function that will help you to have basic understanding of random variable and probability mass function. To understand random
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Example-1- Write the solution set of the equation x2+x-2=0. Solution- x2-x+2x-2=0 x(x-1)+ 2(x-1)=0 (x-1)(x+2)=0 x=1 , x= – 2 S={1, -2} Example-2- Write the set {x: x is a positive integer and x2<40} Solution- S={1, 2, 3, 4, 5, 6} 7, 8, 9, 10, ………… can not be included because their squares are greater than
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In real life, we often come across collection of objects viz. #Cricket Team #Pack of Cards #Members of a Club In mathematics, we also come across collections, examples are. #Odd natural numbers #Even natural numbers #Numbers which is divisible by 3 and less than 20. If you observe each example is well-defined collection of objects.
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