Monitor three customers purchasing smartphones sat the Phonesmart store and observe whether each buys an Apricot phone for $450 or a Banana phone for $300. The random variable N is the number of customers purchasing an Apricot phone. Assume N has the PMF below. Find the ecpected value E(N) by using the following: a) The theorem: Given a rondom variable X with PMF PX(x) and the derived random variable Y = g(X), the expected value of Y is E[Y] = μY = Σ[ g(x)*PX(x) ] b) The definition: The expected value of X is E[X] = μX = Σ[ x*PX(x) ]
Monitor three customers purchasing smartphones sat the Phonesmart store and observe whether each buys an Apricot phone for $450 or a Banana phone for $300. The random variable N is the number of customers purchasing an Apricot phone. Assume N has the PMF below. Find the ecpected value E(N) by using the following: a) The theorem: Given a rondom variable X with PMF PX(x) and the derived random variable Y = g(X), the expected value of Y is E[Y] = μY = Σ[ g(x)*PX(x) ] b) The definition: The expected value of X is E[X] = μX = Σ[ x*PX(x) ]
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 32E
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Monitor three customers purchasing smartphones sat the Phonesmart store and observe whether each buys an Apricot phone for $450 or a Banana phone for $300. The random variable N is the number of customers purchasing an Apricot phone. Assume N has the PMF below. Find the ecpected value E(N) by using the following:
a) The theorem: Given a rondom variable X with PMF PX(x) and the derived random variable Y = g(X), the
b) The definition: The expected value of X is E[X] = μX = Σ[ x*PX(x) ]
![PN (n) =
0.4 n=0,
0.2 n=1,2,3,
0
otherwise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa67aba50-2b96-4b32-9523-eddb477e2ff0%2F1afa80d9-9b5b-42d4-aaa7-bd8a9706bd7d%2Fwqkyehd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PN (n) =
0.4 n=0,
0.2 n=1,2,3,
0
otherwise.
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