Variance formula for a Binomial Random Variable

xxMsJojoxx

Junior Member
Joined
Oct 6, 2020
Messages
54
Hi,

Re: the formula to calculate variance is as followed, as taught in our Intro to Stats Course:
1607881992729.png
1607882007908.png


I'm not understand how the general variance formula relates to the below variance formula, for binomial random variable?
1607882048106.png
whereby n = # of trails, and [=probability of succcess

I tried to break it down as followed:
'p' is the probability, which is P(X=x).
But how does 'np' equate to (x-E(X))^2?
 
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