4. Suppose that we have a sample space S = E₁, E2, E3, E4, Es where E denotes the sample points. Following probability assignments apply: P(E₁) = 0.05, P(E₂) = 0.15, P(E3) = 0.2, P(E₁) = 0.25, P(E)= 0.3. a. Does the above assignment of probability make sense to you? And if not then why? b. Ignoring the errors (if any) what is P(AUB) if A = {E₁, E3} and B = {E₁, E₁}?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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4. Suppose that we have a sample space S = E₁, E2, E3, E4, Es where E denotes the sample points.
Following probability assignments apply: P(E₁) = 0.05, P(E₂) = 0.15, P(E3) = 0.2, P(E₁) =
0.25, P(E) = 0.3. a. Does the above assignment of probability make sense to you? And if not
then why?
b. Ignoring the errors (if any) what is P(AUB) if A = {E₁, E3} and B = {E₁, E₁}?
Transcribed Image Text:4. Suppose that we have a sample space S = E₁, E2, E3, E4, Es where E denotes the sample points. Following probability assignments apply: P(E₁) = 0.05, P(E₂) = 0.15, P(E3) = 0.2, P(E₁) = 0.25, P(E) = 0.3. a. Does the above assignment of probability make sense to you? And if not then why? b. Ignoring the errors (if any) what is P(AUB) if A = {E₁, E3} and B = {E₁, E₁}?
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