Show thát E(X) = np when X is a binomial random variable. [Hint: First'express E(X) as a sum with lower limit x = Then factor out np, let y = x - 1 so that the sum is from y = 0 to y = n – 1, and show that the sum equals 1.] 1. -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Show thát E(X) = np when X is a binomial random variable.
[Hint: First'express E(X) as a sum with lower limit x =
Then factor out np, let y = x - 1 so that the sum is from
y = 0 to y = n – 1, and show that the sum equals 1.]
1.
-
Transcribed Image Text:Show thát E(X) = np when X is a binomial random variable. [Hint: First'express E(X) as a sum with lower limit x = Then factor out np, let y = x - 1 so that the sum is from y = 0 to y = n – 1, and show that the sum equals 1.] 1. -
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