8. (1 point) Consider an experiment with events A and B, for which P(A)=0.2, and P(B)=0.4....
0.2 Question 7 (1 point) <Venn 3> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)-0.7 Find P(BA) (2 decimal places without rounding-up) Question 8 (1 point) Saved <Venn 4>
Events A and B are independent with p(A) - 0.2 and p(B) - 0.4. Find p(A union B). O 0.52 0.08 O 0.6
Let P(A) = 0.4 P(B) = 0.5 P(A|B) = 0.2 (Please show working). If the events a and b are independent, calculate the P(A and B) If the events a and b are not independent, calculate the P(A and B) If the events a and b are mutually exclusive, calculate the P(A or B)
1 point) lf P(A)-0.4, P(B)-0.4, and P(A U B) 0.74, then (a) Are events A and B independent? (enter YES or NO) NO (b) Are A and B mutually exclusive? (enter YES or NO) NO
9. If P(A) = 0.2, P(B) = 0.2, and P(A U B) = 0.4, then P(An B) = (a) Are events A and B independent? (enter YES or NO) (b) Are A and B mutually exclusive? (enter YES or NO)
7. Let A and B be two events with P(A) 0.2 and P(B) = 0.4. What are the possible values for P(An B) and P(AU B)? (Hint: see Example 17 in Lecture 1)
= 0.3. Consider events A and B such that P(A) = 0.7, P(B) = 0.2 and P(ANB) Compute the probability that A will occur, given that B does not occur, A. 0.4 B. 0.1 C. -0.1 D. 0.5 E. none of the preceding
#8. Let A and B be two independent events with P(A)-0.4 and P(A U B)-0.64. What is P(B)?
Consider three random events, A, B and C. Suppose that P(A) = 0.5, P(A∩C) = 0.2, P(C) = 0.4, P(B) = 0.4, P(A∩B∩C) = 0.1, P(B∩C) = 0.18, and P(A∩B) = 0.21. Calculate the following probabilities: c. P((B∩C)c ∪(A∩B)c)
False Question 3 (1 point) <Venn 5> There are 2 events: A, B with P(A)-0.5, P(B)-0.4, P(AUB)-0.7 Find P(A n B) Question 4 (1 point) Saved <Venn 2 There are 2 events: A, B with P(A)-Q5, P(B)-0.4, PAUB)-0.7