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2. Say we have 3 independent events: A, B, and C. Let P(A) = 0.25, P(B) = 0.3, and P(C) = 0.5. a. What is the probability that all 3 events occur (AN BNOC)? b. What is the probability that none of the 3 events occur (A°N B° N Cº)? c. What is the probability that exactly one of these 3 events occur?

2. Say we have 3 independent events: A, B, and C. Let P(A) = 0.25, P(B) = 0.3, and P(C) = 0.5. a. What is the probability that all 3 events occur (AN BNOC)? b. What is the probability that none of the 3 events occur (A°N B° N Cº)? c. What is the probability that exactly one of these 3 events occur?

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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**Question 2: Probability of Independent Events** We have three independent events: A, B, and C. Let the probabilities be as follows: \( P(A) = 0.25 \), \( P(B) = 0.3 \), and \( P(C) = 0.5 \). a. **Probability of all three events occurring** (\( A \cap B \cap C \))? b. **Probability that none of the three events occur** (\( A^c \cap B^c \cap C^c \))? c. **Probability that exactly one of these three events occurs**?
Transcribed Image Text:**Question 2: Probability of Independent Events** We have three independent events: A, B, and C. Let the probabilities be as follows: \( P(A) = 0.25 \), \( P(B) = 0.3 \), and \( P(C) = 0.5 \). a. **Probability of all three events occurring** (\( A \cap B \cap C \))? b. **Probability that none of the three events occur** (\( A^c \cap B^c \cap C^c \))? c. **Probability that exactly one of these three events occurs**?
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