. Consider the following contingency table. B 𝐵𝐵𝑐𝑐 A 26 34 𝐴𝐴𝑐𝑐 14 26 a. Convert the contingency table into a joint probability table. b. What is the probability that A occurs? c. What is the probability that A and B occur? d. Given that B has occurred, what is the probability that A occurs? e. Given that 𝐴𝐴𝑐𝑐 has occurred, what is the probability that B occurs? f. Are A and B mutually exclusive events? Explain. g. Are A and B independent events?
Solution:- Given dalä(i)(a)(b) Probability that A occues P(A)=(60)/(100)=0.60(c) probability that A and B occueP(A nn B)=26//100=0.26(d) Given that B has occued to find the probabilily: that A occuss=P(A∣B)=(P(A nn B))/(P(B))=(0.26)/(0.40)=0.65(a) Given that event A^(C) has occued now to ... See the full answer