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he probability that a house in an urban area will be burglarized is 4%. If 36 houses are randomly selected, what is the probability that none of the houses will be burglas OA. 0.230 B. 0.040 OC. 0.000 OD. 0.001

he probability that a house in an urban area will be burglarized is 4%. If 36 houses are randomly selected, what is the probability that none of the houses will be burglas OA. 0.230 B. 0.040 OC. 0.000 OD. 0.001

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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What is the Probability that none of the houses will be burglarized?

**Probability Question:** *The question states:* "The probability that a house in an urban area will be burglarized is 4%. If 36 houses are randomly selected, what is the probability that none of the houses will be burglarized?" **Choices:** - A. 0.230 - B. 0.040 - C. 0.000 - D. 0.001 **Explanation:** This problem can be solved using the concept of complementary probability. The probability of a house not being burglarized is 1 - 0.04 = 0.96. To find the probability that none of the 36 houses are burglarized, we calculate \(0.96^{36}\). The options provide potential probabilities for this scenario. The correct answer will be one of those given, based on calculating the expression above.
Transcribed Image Text:**Probability Question:** *The question states:* "The probability that a house in an urban area will be burglarized is 4%. If 36 houses are randomly selected, what is the probability that none of the houses will be burglarized?" **Choices:** - A. 0.230 - B. 0.040 - C. 0.000 - D. 0.001 **Explanation:** This problem can be solved using the concept of complementary probability. The probability of a house not being burglarized is 1 - 0.04 = 0.96. To find the probability that none of the 36 houses are burglarized, we calculate \(0.96^{36}\). The options provide potential probabilities for this scenario. The correct answer will be one of those given, based on calculating the expression above.
Expert Solution
Step 1

It is given that 

P( burglarized ) = p = 4% = 0.04

Sample size, n = 36

 

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