Give the derivation of the variance for the binomial distribution. Binomial Distribution~P(Y=K) = (2) PK (1-P)n-k=42V(Y) = E (Y²) - 4²PK.E(Y²) = 2/2 K² (K) ·pk. (1-P)n-k-K1-3X+ (1+x) X(1x).ACHS*** 80K5-S-SEHM

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Give the derivation of the variance for the binomial distribution.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Give the derivation of the variance for the binomial distribution.

Binomial Distribution
~P(Y=K) = (2) PK (1-P)n-k
=
42
V(Y) = E (Y²) - 4²
PK.
E(Y²) = 2/2 K² (K) ·pk. (1-P)n-k
-K
1-3
X+ (1+x) X
(1
x).
ACH
S
*** 80
K
5
-
S-S
E
HM

Expert Solution

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X~Bin(n,p)

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