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

AI Thread 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.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Back
Top