Rule of Probability 8. The Venn diagram provided shows a sample space and two ev
ID: 3051661 • Letter: R
Question
Rule of Probability 8. The Venn diagram provided shows a sample space and two events A andB Suppose P(a) = 0.32, P(b) = 0.17. P(c) = 0.28, and P(d) = 0.23. Confirm that the probabilities of the outcomes add up to 1, then compute the following probabilities a. P(A) b. P(B) c Pl4 two ways 0 by finding the outcomes in AC and adding their probabilities, and (i) using the Probability Rule for Complements. d. P(A n B). e. P(A u B) two ways: 0) by finding the outcomes in A U B and adding their probabilities, and (i) using the Additive Rule of Probability
Explanation / Answer
P(A) = 1-P(a)-P(d)
P(A) = 1 - 0.32 - 0.23 = 1-0.55 = 0.45
b)P(B) = P(b) + P(c) + P(d) = 0.17 + 0.28 + 0.23 = 0.68
c) P(A') = 1 - P(A) = 1 - 0.45 = 0.55
d) P(A and B) = P(b) + P(c) = 0.17 + 0.28 = 0.45
e) P(A or B) = P(A) + P(B) - P(A and B) = 0.45 + 0.68 -0.45 = 0.68
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.