If the events A and B have P ( A ) = .7, P ( B ) = .4, and P ( A | B ) = .5. What is P ( A ∪ B )?
Answer:-
Given that:-
P(A)=0.7 ,P(B)=0.4 and P(A/B)=0.5 What
(7) The events A and B are mutually exclusive (disjoint). If P(A) = 0.7 and P(B) = 0.2, what is P(A or B)? A) 0.14 B) 0 C) 0.9 D) 0.5 (8) The events A and B are mutually exclusive (disjoint). If P(A) = 0.2 and P(B) = 0.1, what is P(A and B)? A) 0.02 B) 0 C) 0.5 D) 0.3 (9) A probability experiment is conducted in which the sample space of the experiment is S = {1,...
If
A & B are mutually exclusive events, P(A or B) = .7, P (A) =.2
then P(B) =
If A and B are mutually exclusive events,P (A or B) - 7, P (A)- 2, then P (B)- O 0.9 O 0.5 O 0.0 ○ 0.14 O None of above
Suppose that we have two events, A and B, with P(A)= 0.50, P(B)=0.60, and P(A ∩ B) = .40 a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not?
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)
For two independent events, A and B, P(A)=. 7 and P(B)= 1a. Find P(A∩B).b. Find P(A|B). c. Find P(A∪B). a. P(A∩B)=______________ b. P(A|B=________________ c. P(A∪B)=___________
Suppose that we have two events, A and B, with P(A) .50, P(B) .50, and PA n B).40 a. Find P(A B) (to 4 decimals) b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select 3 because P(A | B) is SelectP(A)
1) Let A, B and C be three events with P(A) = 94%, P(B) = 11%, and P(C) = 4%. Answer the following questions if B and C are disjoint and P(ANC) = 3%, and P(ANB) = 8%. a. Fill the Venn diagram with probabilities of each area. Find the probability that event C does not happen on its own? (That is, either C does not happen, or it happens with other events.) c. Find the probability that at least...
2. a) Let A and B be two events such that P(A) 4, P(B) .5 and P(AnB) 3 Find P(AUB). b) Let A and B be two events such that P(A)-5, P(B) 3 and P(AUB) .6. Find P(An B)
7. If A and B are independent events, then P(A and B) equals a. b. c. P(A) + P(B/A). P(A) x P(B). P(A) +P(B). d. P(A/B) +P(B/A) 8.Which formula represents the probability of the complement of event A? b. 1-P(A) c. P(A d. P(A)-1 9. The simultaneous occurrence of two events is called a. prior probability b. subjective probability c. conditional probability d. joint probability 10. If the probability of an event is 0.3, that means the event has a...
Suppose the events A and B have the property that P(B) = 0.5 and P(A and B) = 0.25. Find the conditional probability that A will occur if it is known that B has occurred, P(A|B). Show the formula you use or the calculation you do, as well as your answer.