If 20 percent of the mice used in an experiment will become very aggressive after having been administered an experimental drug, find the probability that exactly 2 of 6 mice which have been administered the drug become very aggressive.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

#3? Thank you!!

### Chapter 5 Assessment

1. **Determine Probability Distribution:**
   - Assess whether the given values can be considered as part of a probability distribution for a random variable with possible values 1, 2, 3, 4, and 5. Respond with yes or no. If no, explain the reason.

   a) Given:
   - \( f(1) = 0.18 \)
   - \( f(2) = 0.20 \)
   - \( f(3) = 0.22 \)
   - \( f(4) = 0.23 \)
   - \( f(5) = 0.18 \)

2. **Computer Breakdown Probability:**
   - The monthly breakdowns of a computer follow a random variable pattern with an average of 1.6 breakdowns per month. Calculate the probability that the computer will experience only one breakdown in a month.

3. **Probability of Aggressive Mice:**
   - In an experiment, 20% of mice react aggressively after receiving an experimental drug. Determine the probability that exactly 2 out of 6 treated mice exhibit aggressive behavior.

4. **Customs Inspection:**
   - A customs inspector chooses to examine 2 out of 12 shipments arriving from Madrid by plane. Given that 4 shipments contain contraband, find the probability that the inspector identifies at least one shipment with contraband.
Transcribed Image Text:### Chapter 5 Assessment 1. **Determine Probability Distribution:** - Assess whether the given values can be considered as part of a probability distribution for a random variable with possible values 1, 2, 3, 4, and 5. Respond with yes or no. If no, explain the reason. a) Given: - \( f(1) = 0.18 \) - \( f(2) = 0.20 \) - \( f(3) = 0.22 \) - \( f(4) = 0.23 \) - \( f(5) = 0.18 \) 2. **Computer Breakdown Probability:** - The monthly breakdowns of a computer follow a random variable pattern with an average of 1.6 breakdowns per month. Calculate the probability that the computer will experience only one breakdown in a month. 3. **Probability of Aggressive Mice:** - In an experiment, 20% of mice react aggressively after receiving an experimental drug. Determine the probability that exactly 2 out of 6 treated mice exhibit aggressive behavior. 4. **Customs Inspection:** - A customs inspector chooses to examine 2 out of 12 shipments arriving from Madrid by plane. Given that 4 shipments contain contraband, find the probability that the inspector identifies at least one shipment with contraband.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Research Design Formulation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman