In a certain city district, the need for money to buy drugs is stated as the reason for 55% of all thefts. Find the probability that among the next 5 theft cases reported in this district, (a) exactly 2 resulted from the need for money to buy drugs. (b) at most 3 resulted from the need to buy drugs. (a) Find the probability that among the next theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs. P(X=2)= (Round to three decimal places as needed.) (b) Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs. P(X≤3)= (Round to three decimal places as needed.)
In a certain city district, the need for money to buy drugs is stated as the reason for 55% of all thefts. Find the probability that among the next 5 theft cases reported in this district, (a) exactly 2 resulted from the need for money to buy drugs. (b) at most 3 resulted from the need to buy drugs. (a) Find the probability that among the next theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs. P(X=2)= (Round to three decimal places as needed.) (b) Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs. P(X≤3)= (Round to three decimal places as needed.)
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 Problem on Theft Cases Related to Drug Money
In a certain city district, the need for money to buy drugs is stated as the reason for 55% of all thefts. Find the probability that among the next 5 theft cases reported in this district:
(a) exactly 2 resulted from the need for money to buy drugs.
(b) at most 3 resulted from the need to buy drugs.
---
#### (a) Find the probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.
\[ P(X = 2) = \text{ } \]
(Round to three decimal places as needed.)
---
#### (b) Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs.
\[ P(X \leq 3) = \text{ } \]
(Round to three decimal places as needed.)
---
This exercise is commonly used to illustrate the application of binomial probability in statistical studies, particularly in the context of social issues such as crime. Calculations are essential to accurately determine these probabilities, often using the binomial probability formula or a statistical calculator for more complex computations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b4ff4f7-2c8f-41ef-8afc-ff3d6486dbd5%2Ff5544619-6c53-46db-96ac-3f8521e38a87%2F5bqvs51_processed.png&w=3840&q=75)
Transcribed Image Text:### Probability Problem on Theft Cases Related to Drug Money
In a certain city district, the need for money to buy drugs is stated as the reason for 55% of all thefts. Find the probability that among the next 5 theft cases reported in this district:
(a) exactly 2 resulted from the need for money to buy drugs.
(b) at most 3 resulted from the need to buy drugs.
---
#### (a) Find the probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs.
\[ P(X = 2) = \text{ } \]
(Round to three decimal places as needed.)
---
#### (b) Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs.
\[ P(X \leq 3) = \text{ } \]
(Round to three decimal places as needed.)
---
This exercise is commonly used to illustrate the application of binomial probability in statistical studies, particularly in the context of social issues such as crime. Calculations are essential to accurately determine these probabilities, often using the binomial probability formula or a statistical calculator for more complex computations.
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