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**Exercise 04.30 (Self-Test) Algorithmic** **Suppose that we have two events, A and B, with P(A) = .80, P(B) = .50, and P(A ∩ B) = .40.** a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? - Select ___ because P(A | B) is Select ___ P(A). **Instructions:** - **To calculate P(A | B):** Use the formula P(A | B) = P(A ∩ B) / P(B). - **To calculate P(B | A):** Use the formula P(B | A) = P(A ∩ B) / P(A). - **Independence Check:** For two events to be independent, P(A | B) should be equal to P(A). Check if this condition is met to answer part c.

**Exercise 04.30 (Self-Test) Algorithmic** **Suppose that we have two events, A and B, with P(A) = .80, P(B) = .50, and P(A ∩ B) = .40.** a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? - Select ___ because P(A | B) is Select ___ P(A). **Instructions:** - **To calculate P(A | B):** Use the formula P(A | B) = P(A ∩ B) / P(B). - **To calculate P(B | A):** Use the formula P(B | A) = P(A ∩ B) / P(A). - **Independence Check:** For two events to be independent, P(A | B) should be equal to P(A). Check if this condition is met to answer part c.

MATLAB: An Introduction with Applications
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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**Exercise 04.30 (Self-Test) Algorithmic** **Suppose that we have two events, A and B, with P(A) = .80, P(B) = .50, and P(A ∩ B) = .40.** a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? - Select ___ because P(A | B) is Select ___ P(A). **Instructions:** - **To calculate P(A | B):** Use the formula P(A | B) = P(A ∩ B) / P(B). - **To calculate P(B | A):** Use the formula P(B | A) = P(A ∩ B) / P(A). - **Independence Check:** For two events to be independent, P(A | B) should be equal to P(A). Check if this condition is met to answer part c.
Transcribed Image Text:**Exercise 04.30 (Self-Test) Algorithmic** **Suppose that we have two events, A and B, with P(A) = .80, P(B) = .50, and P(A ∩ B) = .40.** a. Find P(A | B) (to 4 decimals). b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? - Select ___ because P(A | B) is Select ___ P(A). **Instructions:** - **To calculate P(A | B):** Use the formula P(A | B) = P(A ∩ B) / P(B). - **To calculate P(B | A):** Use the formula P(B | A) = P(A ∩ B) / P(A). - **Independence Check:** For two events to be independent, P(A | B) should be equal to P(A). Check if this condition is met to answer part c.
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