Use the Test for Independence to determine if events A and B are independent.P(A)=0.9, P(B) = 0.5, P(An B)=0.54Choose the correct answer below.O A. Events A and B are independent because P(A) • P(B)*P(An B).O B.Events A and B are not independent because P(A) P(B)=P(An B). They are dependent.Events A and B are not independent because P(A) • P(B)*P(An B). They are dependent.O D. Events A and B are independent because P(A) • P(B) = P(An B).O C.O E. It is not possible to determine based on the given information.

Given: P(A)=0.9, P(B) = 0.5, P(A n B) = 0.54 To find: Use the Test for Independence to determine if…

Answered: Use the Test for Independence to…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Let A and B be independent events. Express the probability P(A ∪ B) in terms of the probabilities of A and B.
Two events A and B are such that P(A / B) = 0.5, P(AN B)= 0.15,P(A or B ) = 0.65. Find P(AN B). Select one: O a. 0.5 O b.0.35 O .0.3 O d. 0.05
In example, A and B are two independent events with P (A) = 0.50 and P (B) = 0.20. Count it for P (A and B) P (A | B) o P (B | A) P (A or B)
Use the Test for Independence to determine if events A and B are independent. P(A) = 0.7, P(B) = 0.8, P(An B) = 0.56 Select the correct choice below and fill in the answer box(es) to complete your choice. (Type an integer or a decimal.) O A. Events A and B are not independent because P(A U B)= | and P(A) + P(B) - P(An B)= O B. Events A and B are independent because P(An B) = 0.56 and P(A).P(B) = O C. Events A and B are independent because P(A U B)= and P(A) + P(B)- P(An B) = O D. Events A and B are not independent because P(An B) = 0.56 and P(A) P(B) =.
Suppose P(B) = 0.5, P(D) = 0.4, and P(BND) = 0.3. Find the probabilities below. a. P(DC) b. P (BC) c. P(BUD)
A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows: A: The blue die shows a number greater than 3. B: The red die shows a number less than 4 What is p(A|B)? (Round to four decimal places.) Your Answer:
A and B are mutually exclusive events. P(A) = 0.30 and P(B) = 0.50. What is P(A or B)? A. 0.80 O B. 0.20 ) 5 C. 015 OD. 0.60 OOO
T1.8 Let A and B be two events with probabilities P(A)=.35, P(B)=.40 and P(A U B)=.6. a) Find P(A intersection B) b) Find P(A | B) c) Are events A and B independent or not?
Provide an appropriate response. Classify the events as dependent or independent. Events A and B where P(A) = 0.7, P(B) = 0.7, and P(A and B) = 0.49 dependent O independent
Determine P(BA) if A and B are the events with P(A) = 0.33, P(B) = 0.25 and P(AUB) = 0.50
*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?
Determine whether the events A and B are independent. P(Ac) = 0.3, P(Bc) = 0.1, P(A ∩ B) = 0.63 Yes or No

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