The sample space of an experiment consists of the following outcomes:S = {1, 5, 7}The following events are defined:X = The outcome of the experiment is an even numberY = {1,5}Z = {1, 7}We are also given the following information:●X, Y and Z are independent eventsP(Y UZ) = ½Probabilities of all numbered outcomes are equal. In other words:P(1) = P(5) = P(7)A. Draw the Venn Diagram for events, X, Y, Z, and all outcomes in S. If the event does notexist you may place it outside of the sample space of S or simply not include it – further,this implies that the likelihood of nonexistent events is zero.B. Compute the numerical value of P(X UY U Z).Hint: the formula for a triple union is given by:P(X UYU Z) = P(X) + P(Y) + P(Z) – P(X N Y) – P(X N Z) − P(Y N Z) + P(X N Y N Z).●

The sample space of an experiment consists of the following outcomes: S = {1, 5, 7} The following events are defined: • X = The outcome of the experiment is an even number Y = {1,5} Z= {1,7} We are also given the following information: X, Y and Z are independent events P(Y UZ) = 1/2 Probabilities of all numbered outcomes are equal. In other words:

The sample space of an experiment consists of the following outcomes: S = {1, 5, 7} The following events are defined: • X = The outcome of the experiment is an even number Y = {1,5} Z= {1,7} We are also given the following information: X, Y and Z are independent events P(Y UZ) = 1/2 Probabilities of all numbered outcomes are equal. In other words:

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.CR: Chapter 12 Review

Problem 14CR

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