3. Thirty people are invited to a graduation ceremony. Each person accepts the invitation, independently of all others, with probability 13. Let X be the number of accepted invitations. Compute the following: a. E[X] b. Var[X] c. E[X²] d. E[x²-4X+5]

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
Problem 4P: Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A B) = 0.40. a. Find...
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3. Thirty people are invited to a graduation ceremony. Each person
accepts the invitation, independently of all others, with probability 13. Let
X be the number of accepted invitations. Compute the following:
a. E[X]
b. Var[X]
c. E[X²]
d. E[x²-4X+5]
Transcribed Image Text:3. Thirty people are invited to a graduation ceremony. Each person accepts the invitation, independently of all others, with probability 13. Let X be the number of accepted invitations. Compute the following: a. E[X] b. Var[X] c. E[X²] d. E[x²-4X+5]
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