I was hoping for the answer to part C of 3.72 ### Probability ProblemAn experiment results in one of five sample points with the following probabilities:- \( P(E_1) = 0.22 \)- \( P(E_2) = 0.31 \)- \( P(E_3) = 0.15 \)- \( P(E_4) = 0.22 \)- \( P(E_5) = 0.1 \)The following events have been defined:- \( A: \{E_1, E_3\} \)- \( B: \{E_2, E_3, E_4\} \)- \( C: \{E_1, E_5\} \)#### Find each of the following probabilities:a. \( P(A) \)b. \( P(B) \)c. \( P(A \cap B) \)d. \( P(A \mid B) \)e. \( P(B \cap C) \)f. \( P(C \mid B) \)g. Consider each pair of events \( A \) and \( B \), \( A \) and \( C \), and \( B \) and \( C \). Are any of the pairs of events independent? Why?

Solution: 3.72 c. From the given information,

2 An experiment results in one of five sample points with the following probabilities: P(E¡) = .22, P(E2) P(E3) = .15, P(E4) = ing events have been defined: .31, .22, and P(E5) = .1. The follow- %3D %3D %3D brops rdadorq A: {E1, E3} B: {E2, E3, E4} dedong afT d C: {E\, Es}idedenq aionary ms of on presented in lodong Find each of the following probabilities: a. Р(А) b. P(B) ibTOA Shren e c. P(A NB)somA lle jo 80 fiog 2erl00S d. P(A|B) b ob 29gaingoi9 b p e. P(B N C) o.bo1samos abu f. P(C|B) idedorg9 g. Consider each pair of events A and B, A and C, and B and C. Are any of the pairs of events independent? Why? SY romisland 32bird.species

2 An experiment results in one of five sample points with the following probabilities: P(E¡) = .22, P(E2) P(E3) = .15, P(E4) = ing events have been defined: .31, .22, and P(E5) = .1. The follow- %3D %3D %3D brops rdadorq A: {E1, E3} B: {E2, E3, E4} dedong afT d C: {E\, Es}idedenq aionary ms of on presented in lodong Find each of the following probabilities: a. Р(А) b. P(B) ibTOA Shren e c. P(A NB)somA lle jo 80 fiog 2erl00S d. P(A|B) b ob 29gaingoi9 b p e. P(B N C) o.bo1samos abu f. P(C|B) idedorg9 g. Consider each pair of events A and B, A and C, and B and C. Are any of the pairs of events independent? Why? SY romisland 32bird.species

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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