Two events A and B are said to be independent if
Now,
So,
The events A and B are not independent since .
Question 11 of 20 (1 point) Let A and B be events with P(A) - 0.3, P(B) -0.3, and P (A and B) = 0.1. FO Part 1 Part 2 out of 3 Compute P (A or B). LOADING 0% P (A or B) =
[15] 4. Let E and F be events of sample space S. Let P(E) = 0.3, P(F) = 0.6 and the P(EUF) = 0.7. a) Fill in all probabilities in the Venn diagram shown. S b) Find P(EnF). c) Find P(ENF). d) Find the P(E|F). e) Are E and F independent events? Justify your answer.
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
For two events, A and B, P(A) = 0.4 and P(B) = 0.3 (a) If A and B are independent, find ?(? ∩ ?), ?(?|?), ?(? ∪ ?). (b) If A and B are dependent with ?(?|?) = 0.6, find ?(? ∪ ?),?(?|?).
Given the following: A, B, and C are events. P[A] = 0.3 P[B] = 0.3 P[C] = 0.55 P[A intersect B] = 0 P[A' intersect B' intersect C'] = 0.1 P[A intersect C'] = 0.2 (i) Write a set expression for each of the following events a through d. (ii) Find the probability of the event. (Please show all work. Use venn diagrams if necessary). (a) At least one of the events A, B, or C occurs. (b) Exactly one...
= 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
Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let P(C | D) = 0.4 A) FIND P(C AND D)= B)Are C and D mutually exclusive? Why or why not? C and D are mutually exclusive because they have different probabilities. C and D are not mutually exclusive because P(C) + P(D) ≠ 1 There is not enough information to determine if C and D are mutually exclusive. C and D are not mutually...
2. Let A and B be events in a sample space such that P(A) -0.5. P(ANB) -0.3 and PLAUB)=0.8. Calculate: 1) P(AB): ii) P(BA): iii) PIBIA B): be independent of A and such that B and Care Let the event C in mutually exclusive. Calculate: iv) P(AC); v) PIANBNC). (8 Marks)
If A and B are independent events, P(A) = 0.3, and P(B) = 0.7, determine P(A∪B). A. 0.21 B. 0.40 C. 0.79 D. 1.00
Let A and B be two events such that P(A)=0.35, P(B)=0.3 and P(AB)=0.5. Let A' be the complement of A and B' be the complement of B. (give answers to TWO places past decimal) 1. Compute P(A'). 0.65 Submit Answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous Tries 2. Compute P (AUB). .5 Submit Answer Answer Submitted: Your final submission will be graded after the due date. Tries 1/99 Previous Tries 3....