Let the r.v. X assume the value 'r' with the probability law : P(X = r) = q-¹ p ; r = 1, 2, 3. Find the m.g.f. of X and hence its mean and variance.
Let the r.v. X assume the value 'r' with the probability law : P(X = r) = q-¹ p ; r = 1, 2, 3. Find the m.g.f. of X and hence its mean and variance.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 8E
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![Let the r.v. X assume the value 'r' with the probability law :
P(X=r) = q-¹ p ; r = 1, 2, 3. Find the m.g.f. of X and hence its mean and variance.
r-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7666ed16-5255-4824-bf84-ee059b7f8253%2F241b0024-cd3a-41a7-a9e9-ab3957cfb91f%2Fph6mute_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let the r.v. X assume the value 'r' with the probability law :
P(X=r) = q-¹ p ; r = 1, 2, 3. Find the m.g.f. of X and hence its mean and variance.
r-1
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