### Understanding Buffalo Weights: A Probability Problem**Overview:**You are provided with information about the weights of adult buffalo, which follow a normal distribution. The distribution is given as \( B = N(2000, 200) \), where the mean is 2000 lbs and the standard deviation is 200 lbs. You have inherited a baby buffalo and need to determine various probabilities related to its adult weight.**Questions:**1. **Probability of Weighing 1990 Pounds or More:** - **Question:** What is the probability that your buffalo grows up to be at least 1990 pounds? - **Approach:** Use the properties of the normal distribution to calculate the probability of the buffalo's weight being greater than or equal to 1990 lbs. 2. **Probability of Weighing Between 1950 and 2100 Pounds:** - **Question:** Find the probability that your buffalo will eventually weigh between 1950 and 2100 pounds. - **Approach:** Calculate the probability that the buffalo's weight falls within this range by finding the cumulative distribution function (CDF) values at 1950 lbs and 2100 lbs, then subtracting them.3. **Weight to Outweigh 98% of Buffalo:** - **Question:** How much would your buffalo have to weigh in order to outweigh 98% of all grown buffalo? - **Approach:** Determine the weight corresponding to the 98th percentile of the distribution, using the inverse of the cumulative distribution function.**Diagram/Graph Explanation:** While the text provides no direct diagrams or graphs, understanding the normal distribution's bell curve is essential. The curve is centered at the mean (2000 lbs), with the spread determined by the standard deviation (200 lbs). Calculations will involve finding areas under this curve corresponding to the given weight thresholds.

GivenMean(μ)=2000standard deviation(σ)=200

Answered: You know that buffaloes have adult…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

According to National Health Survey heights of men are normally distributed with mean of μ=69.0 inches and σ-2.50 standard deviation . Standard beds are designed as 75 inches long. Find the percentage of men with a heights exceeding length of a standard bed. Write your answer IN DECIMAL FORM AS PROBABILITY NOT PERCENT!
A recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15 1. What is the probability that a randomly selected individual would have an IQ less than 115. 2. What is the probability that a randomly selected individual would have an IQ of more than 112 3. What is the probability that a randomly selected individual would have an IQ of at least 111.
the mean IQ of tweleve year old boys in a school district is 118; the standard deviation is 18. if a sample of 36 boys taken find the probability that the mean of the sample is greather than 120 the sample mean is within 3 points of the true mean.
An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 800 hours and a standard deviation of 40 hours. Find the probability that a bulb burns between 778 and 834 hours. 5.
The life of a vacuum cleaner is normally disyributed with mean 5 years and standard deviation 2 year. find the probability that it lasts less than 4 years.
The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours and a standard deviation of 2 hours. If you select 9 people, what is the probability that their mean amount of sleep time is between 5.5 to 7 hours?
An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 818 hours and a standard deviation of 43 hours. Find the probability that a bulb burns between 782 and 871 hours. (Write your final answer in decimal form, and round off to 4 decimal places.)
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability of randomly selected adult has an IQ score less than 115.
The life of light bulbs is distributed normally. The variance of the lifetime is 900 and the mean lifetime of a bulb is 550 hours. Find the probability of a bulb lasting for at least 583 hours. Round your answer to four decimal places
The amount of time it takes students to complete a biology exam is normally distributed with a population mean of 120 minutes and standard deviation of 30 minutes. What is the probability that 25 randomly selected students will take longer than 135 minutes?
The amount of time spent by customers in a store follows a normal distribution with a mean of 30 minutes and a standard deviation of 5 minutes. What is the probability that a randomly selected customer spends between 25 and 35 minutes in the store? The IQ scores of a population follow a normal distribution with a mean of 100 and a standard deviation of 15. What percentage of the population has an IQ score between 85 and 115?
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

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

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

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

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS