MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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P(A) = 0.004
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- Suppose A and B are events such that P(A)=1/3, P(B)=1/4,and P(A or B)=1/2. Complete parts (a) and (b) below. a. Are events A and B mutually exclusive? Explain your answer. A. Yes; P(A or B) is greater than P(A). B. No; P(A)+P(B) is not equal to P(A or B). C. Yes; P(A)+P(B) is equal to P(A or B). D. No; P(A) is not equal to P(B). b. Determine P(A & B). P(A & B)=___________(Type an integer or a simplified fraction.)arrow_forwardFor a given event, A, P(A) = 0.34. For a second given event, B, P(B) = 0.44. Additionally, P (A ⋃ B) = 0.58. Based on this information, are A and B mutually exclusive? - maybe - no - impossible to determine - yesarrow_forwardGiven events A and B are independent with ?(?) = 0.7 and ?(?) = 0.4 Determine: a) P (A and B); b) P(A or B); c) P (A | B) Please include any formulas used and explanation. Thank you!arrow_forward
- *21. A and B are events such that P(A) = 0.4, P(B)=0.5, and P(A & B) = 0.2. Answer each question and explain your reasoning. a. Are A and B mutually exclusive? b. Are A and B independent?arrow_forwardGiven P(A) = 0.045, P(B) = 0.010, and P(C) = 0.084, and that events A, B, and C are mutually exclusive, what is the P(A or B or C)? Answer in decimal form. Round to 3 decimal places as needed.arrow_forwardGiven 2 events, A and B. Suppose P(A) =0.6 and P(B)=0.6. Which one of the following statements must be correct? Select one: O OO O O a Event A and Event B are the same event. b. Event A and Event B can not be mutually exclusive c. P(A and B) 0.6arrow_forward
- Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.arrow_forwardWhat term is best described as the property of two events in which the knowledge that one of the events occurred does not affect the chance the other occurs? Select the correct answer below: complement mutually exclusive dependent independentarrow_forwardThe events A and B are mutually exclusive. If P(A) = 0.5, and P(B) = 0.3, what is P(A or B)? a. 0.15 b. 0.8 c. 0.2 d. 0arrow_forward
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