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A) What is the probability that A occursB)What is the probability.pdf

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A) What is the probability that A occurs? B)What is the probability that B2 occurs? C)What is the probability that Ac and B4 occur? d) What is the probability that A or B3 occurs? e) Given that B2 has occurred, what is the probability that A occurs? f) Given that A has occurred, what is the probability that B4 occurs? PLEASE SHOW ALLL WORK!!!! e) Given that B2 has occurred, what is the probability that A occurs? f) Given that A has occurred, what is the probability that B4 occurs? PLEASE SHOW ALLL WORK!!!! Consider the following joint probability table. Solution (a) P(A occurs) =0.1+0.09+0.17+0.09 =0.45 (b) P(B2 occurs) =0.09+0.21 =0.3 (c) P(Ac and B4 occur) =0.16 (d) P( A or B3 occurs) = P(A occurs) +P(B3 occurs) - P(A and B3 occur) = 0.45+0.17+0.09-0.17 =0.54 (e) P(A occurs | B2 has occurred) = P(A and B2 occurred) / P(B2 occurred) =0.09/0.3 =0.3 (f) P( B4 occurs | A has occurred) = P(A and B4 occurred)/ P(A occurred) =0.09/0.45 =0.2.

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A) What is the probability that A occurs? B)What is the probability that B2 occurs? C)What is the probability that Ac and B4 occur? d) What is the probability that A or B3 occurs? e) Given that B2 has occurred, what is the probability that A occurs? f) Given that A has occurred, what is the probability that B4 occurs? PLEASE SHOW ALLL WORK!!!! e) Given that B2 has occurred, what is the probability that A occurs? f) Given that A has occurred, what is the probability that B4 occurs? PLEASE SHOW ALLL WORK!!!! Consider the following joint probability table. Solution (a) P(A occurs) =0.1+0.09+0.17+0.09 =0.45 (b) P(B2 occurs) =0.09+0.21 =0.3 (c) P(Ac and B4 occur) =0.16 (d) P( A or B3 occurs) = P(A occurs) +P(B3 occurs) - P(A and B3 occur) = 0.45+0.17+0.09-0.17 =0.54 (e) P(A occurs | B2 has occurred) = P(A and B2 occurred) / P(B2 occurred) =0.09/0.3 =0.3
(f) P( B4 occurs | A has occurred) = P(A and B4 occurred)/ P(A occurred) =0.09/0.45 =0.2

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A) What is the probability that A occursB)What is the probability.pdf

  • 1. A) What is the probability that A occurs? B)What is the probability that B2 occurs? C)What is the probability that Ac and B4 occur? d) What is the probability that A or B3 occurs? e) Given that B2 has occurred, what is the probability that A occurs? f) Given that A has occurred, what is the probability that B4 occurs? PLEASE SHOW ALLL WORK!!!! e) Given that B2 has occurred, what is the probability that A occurs? f) Given that A has occurred, what is the probability that B4 occurs? PLEASE SHOW ALLL WORK!!!! Consider the following joint probability table. Solution (a) P(A occurs) =0.1+0.09+0.17+0.09 =0.45 (b) P(B2 occurs) =0.09+0.21 =0.3 (c) P(Ac and B4 occur) =0.16 (d) P( A or B3 occurs) = P(A occurs) +P(B3 occurs) - P(A and B3 occur) = 0.45+0.17+0.09-0.17 =0.54 (e) P(A occurs | B2 has occurred) = P(A and B2 occurred) / P(B2 occurred) =0.09/0.3 =0.3
  • 2. (f) P( B4 occurs | A has occurred) = P(A and B4 occurred)/ P(A occurred) =0.09/0.45 =0.2