![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Question
Given the example below, find the random variable, distribution and computation following the format.
An island has a population of 1000. The residents are composed of 85% right-handed, 14% left-handed, and 1% ambidextrous individuals. If a researcher is randomly selecting 400 residents without replacement, what is the expected number of right handed individuals in the sample?
*Option for distribution: Bernoulli Distribution, Binomial Distribution, Geometric Distribution, Negative Binomial Distribution, Hypergeometric Distribution, Poisson Distribution, or Multinomial Distribution
-Random variable:
-Distribution:
-Computation
![Example: A large number of insects are expected to be attracted to a certain
variety of rose plant. A commercial insecticide is advertised as being 99%
effective. Suppose 200 insects infest a rose garden where the insecticide has
been applied. What is the probability that none of these insects can survive?
Random variable: X – number of dead insects
Distribution: X~Bin(200, 0.99)
a
Computation: P[X = 200] = (200)(0.99)200 (0.01)° = 0.1340
%3D](https://content.bartleby.com/qna-images/question/716bdf05-2e02-4c94-8cec-575e242745c1/ddb0996e-2c68-4961-86fd-d457c92a95a1/7rsy2qb_thumbnail.png)
Transcribed Image Text:Example: A large number of insects are expected to be attracted to a certain
variety of rose plant. A commercial insecticide is advertised as being 99%
effective. Suppose 200 insects infest a rose garden where the insecticide has
been applied. What is the probability that none of these insects can survive?
Random variable: X – number of dead insects
Distribution: X~Bin(200, 0.99)
a
Computation: P[X = 200] = (200)(0.99)200 (0.01)° = 0.1340
%3D
Expert Solution
![Check Mark](/static/check-mark.png)
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 nowThis is a popular solution!
Step by stepSolved in 2 steps
![Blurred answer](/static/blurred-answer.jpg)
Knowledge Booster
Similar questions
- Suppose you are playing a game and you get to roll 40 six-sided dice on your next turn. If you get a total of 160 or more from the 40 dice, you will win the game. Using sampling distributions, what is the probability that you will get a total of 160 or more with the 40 dice? Some useful things to know: When one six-sided die is rolled, the die roll (or number of spots showing) has a mean of 3.5 and a standard deviation of approximately 1.71.arrow_forwardA statistics instructor wants to measure the effectiveness of his teaching skills in a class of 102 students (N = 102). He selects students by waiting at the door to the classroom prior to his lecture and pulling aside every third student to give him or her a questionnaire. Is this sample design an example of random sampling? Explain. Assuming that all students attend his class that day, how many students will the instructor select to complete his questionnaire?arrow_forwardIn simple random sampling, it is true that each member of the population is equally likely to be selected, the chance for each member being equal to the sample size divided by the population size. Complete parts (a) and (b) below. Question content area bottom Part 1 a. Under what circumstances is that fact also true for systematic random sampling? Explain your answer.arrow_forward
- Generate 10000 instances of a poisson (10) random variable and then compute the sample mean, sample variance, and sample standard deviation.arrow_forwardA racing car consumes a mean of 100 gallons of gas per race with a variance of 64. If 44 racing cars are randomly selected, what is the probability that the sample mean would be greater than 98.8 gallons? Round your answer to four decimal places. Answer How to enter your answer (opens in new window) Statistical Tables Binomial Probabilities Binomial Cumulative ▾ Poisson Probabilities Poisson Cumulative Tables Keypad Keyboard Shortcuts Binomial Probabilities (n=1) Probability of Success or p 0.4 0.5 X 0.3 0.1 0.2 0.6 0 0.9000 0.8000 0.7000 0.6000 0.5000 0.4000 0.7 0.8 0.9 0.3000 0.2000 0.1000 1 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 Xarrow_forwarddetermine whether the given procedure results in a binomial distribution. if not, give the reason. Rolling a single die 34 times, keeping track of the number of 3s that are rolled.arrow_forward
- Determine whether the given procedure results in a binomial distribution. Tossing a coin 12 times and recording the number of outcomes that are heads.arrow_forwardFive cards are dealt from a deck of cards without replacement. The number of hearts is counted. Why isn’t the number of hearts a binomial distribution? Please explain.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
![Text book image](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
![Text book image](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman