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Using the hypergeometric distribution, it is found that the probability is 0.845 = 84.5%.
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- The patients are chosen from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by:
![P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20h%28x%2CN%2Cn%2Ck%29%20%3D%20%5Cfrac%7BC_%7Bk%2Cx%7D%2AC_%7BN-k%2Cn-x%7D%7D%7BC_%7BN%2Cn%7D%7D)
The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
Combination formula:
is the number of different combinations of x objects from a set of n elements, given as:
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
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- 56074 patients, thus
![N = 56074](https://tex.z-dn.net/?f=N%20%3D%2056074)
- Sample of 40, thus,
![n = 40](https://tex.z-dn.net/?f=n%20%3D%2040)
- 235 left against medical advice, thus,
.
The probability that none left against medical advice is P(X = 0), so:
![P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20h%28x%2CN%2Cn%2Ck%29%20%3D%20%5Cfrac%7BC_%7Bk%2Cx%7D%2AC_%7BN-k%2Cn-x%7D%7D%7BC_%7BN%2Cn%7D%7D)
![P(X = 0) = h(0,56074,40,235) = \frac{C_{235,0}*C_{55839,40}}{C_{56074,40}} = 0.845](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20h%280%2C56074%2C40%2C235%29%20%3D%20%5Cfrac%7BC_%7B235%2C0%7D%2AC_%7B55839%2C40%7D%7D%7BC_%7B56074%2C40%7D%7D%20%3D%200.845)
The probability is 0.845 = 84.5%.
A similar problem is given at brainly.com/question/24008577
There are different kinds of Heat Transfer. Conduction is the transfer of Thermal energy from one object to another through the movement of Molecules Heat flows from one molecule to another because the particles are in Direct contact with one another.
Conduction is known to be described as the transfer of heat between substances that are said to be in direct contact with each other.
The more the increase in the conductor, the more fast the heat will be transferred. Metal are known to be a good conduction of heat.
Conduction is known to often take place when a substance is heated and as such particles will have a lot of energy, and vibrate more.
Learn more about Conduction from
brainly.com/question/893656
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