### 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

It is given that P(Q) = 0.39P(R) = 0.85The events Q and R are independent events.

Answered: Suppose Q and R are independent events,…

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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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