This is sampling distribution can you help me with this problem

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Discussion Overview

The discussion revolves around a probability problem involving the weights of goats that are normally distributed. Participants are asked to determine the probability that the total weight of 10 randomly selected goats exceeds the maximum weight capacity of a truck.

Discussion Character

  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant presents the problem, specifying the normal distribution parameters for the goats' weights and the truck's weight limit.
  • Another participant questions the motivation behind seeking just the answer and solutions without an interest in understanding the problem-solving process.
  • A different participant explains the meaning of the normal distribution parameters and suggests using the standard normal distribution to find the probability.
  • There is a humorous remark about the urgency of moving goats, implying a light-hearted take on the situation.
  • Another participant suggests that if the focus is solely on transportation, a different forum might be more appropriate.

Areas of Agreement / Disagreement

Participants express differing views on the importance of understanding the problem-solving process versus simply obtaining an answer. There is no consensus on the best approach to the problem.

Contextual Notes

Some participants emphasize the need for understanding the implications of normal distribution, while others focus on the immediate need for a solution. The discussion reflects varying levels of engagement with the mathematical concepts involved.

Cute aq
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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
 
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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.
 

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