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Suppose Q and R are independent events, and P(Q) = 0.39, P(R) = 0.85. Find P(Q and R). a Ob OC Od 1.24 0.3315 0.46 0.1794

Suppose Q and R are independent events, and P(Q) = 0.39, P(R) = 0.85. Find P(Q and R). a Ob OC Od 1.24 0.3315 0.46 0.1794

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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### Probability and Independence #### Question 13 [2 points] Suppose \( Q \) and \( R \) are independent events, and \( P(Q) = 0.39 \), \( P(R) = 0.85 \). Find \( P(Q \text{ and } R) \). **Options:** - a) 1.24 - b) 0.3315 - c) 0.46 - d) 0.1794 #### Explanation: To find the probability of both independent events \( Q \) and \( R \) occurring, we use the multiplication rule for independent events: \[ P(Q \text{ and } R) = P(Q) \times P(R) \] Given: \[ P(Q) = 0.39 \] \[ P(R) = 0.85 \] Calculation: \[ P(Q \text{ and } R) = 0.39 \times 0.85 = 0.3315 \] #### Correct Answer: - b) 0.3315
Transcribed Image Text:### Probability and Independence #### Question 13 [2 points] Suppose \( Q \) and \( R \) are independent events, and \( P(Q) = 0.39 \), \( P(R) = 0.85 \). Find \( P(Q \text{ and } R) \). **Options:** - a) 1.24 - b) 0.3315 - c) 0.46 - d) 0.1794 #### Explanation: To find the probability of both independent events \( Q \) and \( R \) occurring, we use the multiplication rule for independent events: \[ P(Q \text{ and } R) = P(Q) \times P(R) \] Given: \[ P(Q) = 0.39 \] \[ P(R) = 0.85 \] Calculation: \[ P(Q \text{ and } R) = 0.39 \times 0.85 = 0.3315 \] #### Correct Answer: - b) 0.3315
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