Which value for X will result in the greatest relative frequency give discrete random variable X,when X~B(4,1/10)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Which value for X will result in the greatest relative frequency give discrete random variable X,when X~B(4,1/10)?
Expert Solution
Step 1

P.d.f of binomial distribution is given by,

p(x)= nCx px qn-x , q=1-p

X~B(4, 1/10) 

p(x)= 4Cx (1/10)x (9/10)4-x

0.6561

0.2916

0.0486

0.00015

 

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