Consider the following statements: i. If A and B are independent, then Ā and B must be independent. ii. The sum of the probabilities of collectively exhaustive events must equal one. iii. If A and B are mutually exclusive, then Ā and B must be mutually exclusive. iv. P(AUB) = P(A) + P(B)[1-P(A|B)] Which of the following is correct about the statements? a. (ii) and (iii) are true. b. None of the suggested answers are correct. O c. (i) and (iv) are true. O d. (i) and (ii) are true. е. All are false.
Consider the following statements: i. If A and B are independent, then Ā and B must be independent. ii. The sum of the probabilities of collectively exhaustive events must equal one. iii. If A and B are mutually exclusive, then Ā and B must be mutually exclusive. iv. P(AUB) = P(A) + P(B)[1-P(A|B)] Which of the following is correct about the statements? a. (ii) and (iii) are true. b. None of the suggested answers are correct. O c. (i) and (iv) are true. O d. (i) and (ii) are true. е. All are false.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![Consider the following statements:
i. If A and B are independent, then Ā and B must be independent.
ii. The sum of the probabilities of collectively exhaustive events must equal one.
iii. If A and B are mutually exclusive, then Ā and B must be mutually exclusive.
iv. P(AUB) = P(A) + P(B)[1-P(A|B)]
Which of the following is correct about the statements?
a. (ii) and (iii) are true.
b. None of the suggested answers are correct.
O c. (i) and (iv) are true.
O d. (i) and (ii) are true.
е.
All are false.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce25e68c-7709-4841-bcbc-d08d51f1992b%2F58df8153-61eb-433b-9d8e-9ef126236681%2Fqx0afsg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following statements:
i. If A and B are independent, then Ā and B must be independent.
ii. The sum of the probabilities of collectively exhaustive events must equal one.
iii. If A and B are mutually exclusive, then Ā and B must be mutually exclusive.
iv. P(AUB) = P(A) + P(B)[1-P(A|B)]
Which of the following is correct about the statements?
a. (ii) and (iii) are true.
b. None of the suggested answers are correct.
O c. (i) and (iv) are true.
O d. (i) and (ii) are true.
е.
All are false.
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