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2.) In the Venn diagram shown is given the probabilities for An Bº, An B, and An BC Construct a completed contingency table for these events and determine the following: А B a.) Table: 33% 17% @ 15% b.) P(AUB) = c.) P(AB) = d.) Are the events A and B mutually exclusive? Explain your answer. e.) Are the events A and B independent? Explain your answer.
6. Given two mutually excdlusive events 4 and B for which PlA)-027 and P(B) 0.46, find (e) P(An B); (f) P(A'n B); (g) P(A'n B); (h) P(A'uB). (c) P(AuB); (d) P(An B); (Hint: Draw a Venn diagram and fill in the probabilities associated with the various regions.)
2. Given: P(A) = 0.4, P(B) = 0.7, and A and B are independent events. (a) (2 points) Find P(A and B) (b) (2 points) Find PA and B) (b) (c) (3 points) Construct the Venn diagram. А B @ (d) (2 points) Find P(B) (d) (f) (2 points) Find P(A or B) (g) (2 points) Find P(BA) EC
5. If 4 and B are mutualiy exclusive events and PA) 0.3 and PB)0.5. find (b) PA: INT Construct Venn diagrams and fill in the probabilities associated with the various regions. .. B. and C are mutually exclusive events and
3. If PA)-03, P(B) 0.2, P(A and B)-a06, what can be said about events A and B ? A) They are independent. B) They are mutually exclusive. C) They are posterior probabilities. D) None of the above E) All of the above 4. "The probability of event B, given that event A has occurred" is known as a probability A) continuous B) marginal C) simple D) joint E) conditional 5. The expected value of a probability distribution is A. the...
QUESTION If A and 8 are two mutually exclusive events and P(A) -0.5 and P(B) -0.3, then the probability of joint event AU 8 should be QUESTION 2 Does the following Venn Diagram correctly describe the event (AUB)nC O True False
Use a Venn Diagram. Let P(Z)=0.47, P(Y)=0.24, and P(Z ∪ Y)=0.56. Find each probability. (a) P(Z′ ∩ Y′) (b) P(Z′ ∪ Y′) (c) P(Z′ ∪ Y') (d) P(Z ∩ Y') Complete the Venn diagram below using the given probabilities. I can't figure out how to find the circled answer! Please and thank you!
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)
[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.
5. Suppose A, B are events such that P(A) = 1/3, P(B) = 1/4, find P(AUB) under each of the following assumptions: (a) If A and B are mutually exclusive (disjoint). (b) If A and B independent.