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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Chapter 5 Assessment**

1. **Determine whether the given values can be looked upon as the values of a probability distribution of a random variable that can take on the values 1, 2, 3, 4, and 5. Answer yes or no. If no, explain why not.**

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

2. **The number of monthly breakdowns of a computer is a random variable with an average of 1.6 breakdowns per month. Find the probability that this computer will function for a month with only 1 breakdown.**

3. **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.**

4. **A customs inspector decides to inspect two of 12 shipments that arrive from Madrid by plane. If the selection is random and four of the shipments contain contraband, find the probability that the customs inspector will catch one of the shipments with contraband.**
Transcribed Image Text:**Chapter 5 Assessment** 1. **Determine whether the given values can be looked upon as the values of a probability distribution of a random variable that can take on the values 1, 2, 3, 4, and 5. Answer yes or no. If no, explain why not.** a) - \( f(1) = 0.18 \) - \( f(2) = 0.20 \) - \( f(3) = 0.22 \) - \( f(4) = 0.23 \) - \( f(5) = 0.18 \) 2. **The number of monthly breakdowns of a computer is a random variable with an average of 1.6 breakdowns per month. Find the probability that this computer will function for a month with only 1 breakdown.** 3. **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.** 4. **A customs inspector decides to inspect two of 12 shipments that arrive from Madrid by plane. If the selection is random and four of the shipments contain contraband, find the probability that the customs inspector will catch one of the shipments with contraband.**
Expert Solution
Step 1

Let X be the number of shipments with contraband.

Then,

P[X=x] = n1x×N-n1n-xNn

Where,

N = population size

n1 = number of successes in the population

x = number of observed success

n = number of draws

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