When events are mutually exclusive, P (A and B) = 0."
True
False
Note : Mutually exclusive events : two events are mutually exclusive if they cannot occur at the same time. That means probabilitiy of their interaction is zero.
Therefore, given statement, "when events are mutually exclusive, P(A and B) = 0' is True
When we re sampling with replacement, that means the events are mutually exclusive. " True False
Question 5 1 pts If A and B are mutually exclusive events, then P(AB) = P(AUB) Not enough information to answer the question O False O True
T-1 Suppose two events A and B are mutually exclusive and PAI 0, P[B] 0 . Consider the following statements: i) P(An B)=0 ii) P(A U B) = P(A) + P(B) iii) A and B are statistically independent. Choose the correct statement. A) Only i) is true. B) Only ii) is true. C) Only iii is true. D) Only i) and i) are true. E) i), ii) and iii) are all true.
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
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
0.4, P(B) 0.5, and P(A B) = 0.20, then the events A and B are mutually exclusive. If P(A) True False OO
“If two events are mutually exclusive, they must not be independent events.” Is this statement true or false? Explain your choice.
In parts (a) and (b), identify whether the events are mutually exclusive, independent, or neither (events cannot be both mutually exclusive and independent). a) You and a randomly selected student from your class both earn A's in this course. neither independent mutually exclusive b) You and your class partner both earn A's in this course. neither mutually exclusive independent c) If two events can occur at the same time, they must be independent. false true
d) If A and B are mutually exclusive events, then P (An B) = 1// P (A) 2/1 0 3|| (A) + P (B) 4// P (A) + P (B) - P (A and B) e) If A and B are independent events, then P (AJB) 1-P(B) 2-P(A) 3-P(A)P(B) 4-P(A)+P(B)
Events A and B are mutually exclusive. Which of the following statements is also true? a. P(A ∩ B) = P(A) + P(B) b. A and B are also independent c. P(A U B) = P(A)P(B) d. P(A U B) = P(A) + P(B)