Suppose that we have a sample space S = {E, E, E3, E4, Es, Es, E7}, where E,, E2,., E, denote the sample points. The following probability assignments apply: P(E1) = 0.05, P(E1) = 0.15, P(E3) = 0.10, P(E4) = 0.20, P(E5) = 0.10, P(Es) = 0.10, and P(E7) = 0.30. Assume the following events when answering the questions.
Suppose that we have a sample space S = {E, E, E3, E4, Es, Es, E7}, where E,, E2,., E, denote the sample points. The following probability assignments apply: P(E1) = 0.05, P(E1) = 0.15, P(E3) = 0.10, P(E4) = 0.20, P(E5) = 0.10, P(Es) = 0.10, and P(E7) = 0.30. Assume the following events when answering the questions.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:Suppose that we have a sample space S = {E1,E, E3, E4, Es, Es, E7}, where E1, E2,., E7 denote the sample points. The following probability assignments apply:
P(E1) = 0.05, P(E) = 0.15, P(E3) = 0.10, P(E4) = 0.20, P(Es) = 0.10, P(Es) = 0.10, and P(E) = 0.30.
Assume the following events when answering the questions.
A = {E1, E4, Es}
B = {E2, E4, E-}
C = {E2, E3, Es, E }
a. Find P(A), P(B), and P(C). If necessary round your answers to two deicmal places.
P(A) =
0.14
P(B) =
P(C) =
b. What is A U B?
(i) {E3, Es}
(ii) {E1, E2, E6, E,}
(iii) {E1, E2, E4, E6, E}
(iv) {E1, E4, E6}
|(v) {E2, E4, E7}
(vi) {0}
Choice (iii)
What is P(AU B)? If necessary round your answer to two deicmal places.
Transcribed Image Text:c. What is An B?
(i) {E1, E2, E6, E,}
(ii) {E4}
(iii) {E1, E2, E3, Es, Es, E7}
(iv) {E1, E4, Es}
(v) {E2, E4, Eq }
(vi) {o}
Choice (ii)
What is P(An B)? If necessary round your answer to two deicmal places.
d. Are events A and C mutually exclusive?
Yes, they are mutually exclusive.
e. What is B?
(i) {E1, E3, Es, Eg}
(ii) {E2, E4, Es, E¡}
(iii) {E3, E4, Es, Es}
(iv) {E1, E4, Es}
(v) {E2, E4, E }
(vi) {0}
Choice (i)
What is P(B)? If necessary round your answer to two deicmal places.
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