In a certain city district, the need for money to buy drugs is stated as the reason for 71% 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 71% 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.)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
solve the following
![**Probability Problems Related to Need for Money to Buy Drugs and Theft Cases**
In a certain city district, the need for money to buy drugs is stated as the reason for 71% of all thefts. Below are two problems for you to solve based on this statistic:
1. **Exactly 2 out of the Next 5 Theft Cases:**
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.
**(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.**
\[
P(X = 2) = \quad \text{(Round to three decimal places as needed.)}
\]
2. **At Most 3 out of the Next 5 Theft Cases:**
Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs.
**(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.**
\[
P(X \leq 3) = \quad \text{(Round to three decimal places as needed.)}
\]
These calculations typically require using the binomial probability formula or a binomial probability distribution table.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1d1e5150-1781-42a0-9e07-3d8cfcc0113b%2Ffba6cdf7-aba3-49c3-af09-1346c0084c3b%2F0qr5pyb_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability Problems Related to Need for Money to Buy Drugs and Theft Cases**
In a certain city district, the need for money to buy drugs is stated as the reason for 71% of all thefts. Below are two problems for you to solve based on this statistic:
1. **Exactly 2 out of the Next 5 Theft Cases:**
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.
**(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.**
\[
P(X = 2) = \quad \text{(Round to three decimal places as needed.)}
\]
2. **At Most 3 out of the Next 5 Theft Cases:**
Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs.
**(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.**
\[
P(X \leq 3) = \quad \text{(Round to three decimal places as needed.)}
\]
These calculations typically require using the binomial probability formula or a binomial probability distribution table.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON