In a certain city district, the need for money to buy drugs is stated as the reason for 73% 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)= (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 73% 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)= (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 in Context of Theft Related to Drug Money
#### Problem Statement:
In a certain city district, the need for money to buy drugs is stated as the reason for 73% of all thefts. We are interested in calculating the probabilities related to the next 5 theft cases reported in this district, specifically:
(a) The probability that exactly 2 of the next 5 theft cases resulted from the need for money to buy drugs.
(b) The probability that at most 3 of the next 5 theft cases resulted from the need to buy drugs.
#### Questions:
1. **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.**
\[
P(X = 2) = \boxed{\phantom{000}}
\]
*(Round to three decimal places as needed.)*
2. **Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs.**
\[
P(X \leq 3) = \boxed{\phantom{000}}
\]
*(Round to three decimal places as needed.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7167d01a-fc0a-4c3f-ab49-29dc29956a80%2F3f983418-ead6-4832-9176-ada76b9f2ef7%2F7rnwhsa_processed.png&w=3840&q=75)
Transcribed Image Text:### Probability in Context of Theft Related to Drug Money
#### Problem Statement:
In a certain city district, the need for money to buy drugs is stated as the reason for 73% of all thefts. We are interested in calculating the probabilities related to the next 5 theft cases reported in this district, specifically:
(a) The probability that exactly 2 of the next 5 theft cases resulted from the need for money to buy drugs.
(b) The probability that at most 3 of the next 5 theft cases resulted from the need to buy drugs.
#### Questions:
1. **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.**
\[
P(X = 2) = \boxed{\phantom{000}}
\]
*(Round to three decimal places as needed.)*
2. **Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs.**
\[
P(X \leq 3) = \boxed{\phantom{000}}
\]
*(Round to three decimal places as needed.)*
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