This is sampling distribution can you help me with this problem

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The discussion revolves around calculating the probability that the total weight of 10 randomly selected goats, each with a mean weight of 60 kg and a standard deviation of 10 kg, exceeds the truck's capacity of 650 kg. The standard normal distribution is utilized, where the z-score is calculated as (650 kg - 600 kg) / (10 kg * √10) = 1.58. This corresponds to a probability of approximately 0.9429, indicating that there is a 94.29% chance that the total weight will not exceed the truck's capacity.

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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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