MHB This is sampling distribution can you help me with this problem

Click For Summary
The discussion revolves around calculating the probability that the total weight of 10 randomly selected goats exceeds 650 kg, given that their weights are normally distributed with a mean of 60 kg and a standard deviation of 10 kg. The standard normal distribution value is calculated, leading to a z-score of 0.5 for the weight limit of 65 kg. Participants express confusion about the request for just the answer without an interest in understanding the problem-solving process. The conversation also includes a humorous remark about the need for goat transportation. Understanding the statistical concepts is emphasized as crucial for solving such problems effectively.
Cute aq
Messages
1
Reaction score
0
1. The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
PS: I JUST NEED THE ANSWER AND SOLUTIONS
 
Mathematics news on Phys.org
Cute aq said:
1. The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
PS: I JUST NEED THE ANSWER AND SOLUTIONS
I am puzzled by this. If, as you appear to be saying, youare not interested in learning HOW to solve problems like this, why would you care about "the answer and solutions"?
 
Do you understand what a "normally distributed with mean of 60 kg and a standard deviation of 10 kg" MEANS?

If the weight of the goats is "normally distributed with mean of 60 kg and a standard deviation of 10 kg" then the "standard normal distribution" value corresponding to 650/10= 65 kg is (65-60)/10= 5/10= 1/2= 0.50. You can look up the probability on a table of the "standard normal distribution". There is a good one at Standard Normal Distribution Table.pdf (rit.edu) .
 
Last edited:
Country Boy said:
I am puzzled by this. If, as you appear to be saying, youare not interested in learning HOW to solve problems like this, why would you care about "the answer and solutions"?

maybe they just need to move some goats! :ROFLMAO:
 
Then they should go to a "goat transportation" board.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

MHB What is the probability of exceeding maximum weight with a normal distribution?
  • · Replies 2 ·
Replies
2
Views
2K
MHB Sampling Distribution of the Sample Means from an Infinite Population
  • · Replies 1 ·
Replies
1
Views
1K
MHB IHave no idea how to solve any os these.
  • · Replies 4 ·
Replies
4
Views
2K
MHB Sampling distribution of a statistic
  • · Replies 6 ·
Replies
6
Views
3K
MHB Are These Statistics Practice Answers Correct?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Could use help, know the answers but with the process and equations
  • · Replies 2 ·
Replies
2
Views
3K
MHB How to Compute Standard Deviation in a Mixed Sampling Problem
  • · Replies 3 ·
Replies
3
Views
4K
MHB Probability question (mean, SD)
  • · Replies 1 ·
Replies
1
Views
2K
Sampling Distribution of Mean for Discrete Uniform Distribution with Replacement
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad Maximum likelihood to fit a parameter of this model
  • · Replies 1 ·
Replies
1
Views
2K