Add the pic and I’ll be able to answer it
Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>is used to solve this question.
<h3>What is the
hypergeometric distribution formula?</h3>
The formula is:
![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%7DC_%7BN-k%2Cn-x%7D%7D%7BC_%7BN%2Cn%7D%7D)
![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)
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.
In this problem:
- There is a total of 18 people, hence
.
- 2 people will be chosen, hence
.
- David and Valerie corresponds to 2 people, hence
.
The probability that both get picked is P(X = 2), hence:
![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%7DC_%7BN-k%2Cn-x%7D%7D%7BC_%7BN%2Cn%7D%7D)
![P(X = 2) = h(2,18,2,2) = \frac{C_{2,2}C_{16,0}}{C_{18,2}} = 0.0065](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20h%282%2C18%2C2%2C2%29%20%3D%20%5Cfrac%7BC_%7B2%2C2%7DC_%7B16%2C0%7D%7D%7BC_%7B18%2C2%7D%7D%20%3D%200.0065)
0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
You can learn more about the hypergeometric distribution at brainly.com/question/25783392
The celestial sphere and Earth is the example of a beach ball with a ping pong ball inside of it can be used to imagine the relationship between what two entities.
The heavenly sphere is what Why is this old idea still relevant today?
- Ancient people used the celestial sphere to describe the visible universe.
- Although our understanding of the cosmos has changed, the concept of a celestial sphere is still prevalent because it provides a straightforward perspective on the stars that is useful for navigation.
Which phrase most accurately sums up the celestial sphere?
The entire sky as seen from Earth is portrayed by the celestial sphere. Keep in mind that the celestial sphere is intended to depict the sky as it appears from our planet rather than physical reality.
Learn more about celestial sphere
brainly.com/question/13196153
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Obviously it will be 0.25.
Because this number is a rational number not a integer number....
So you subtract 10ft 6 from 12, and get 1 foot 6, then you divide that by two, and the nearest wall is 15 inches away from the couch.