Answer:
the answer is 2
Step-by-step explanation:
because 2x2 is 4 so x=2
Answer:
A(4,-8) B(8,2) C(-4,8) D(-4,-2)
Step-by-step explanation:
if those are wrong sorry i might have fliped them
please mark as brainllest
Using the hypergeometric distribution, it is found that there is a 0.033 = 3.3% probability that the third red fish is the seventh fish selected.
The fishes are chosen without replacement, which means that the <u>hypergeometric distribution</u> is used to solve this question.
Hypergeometric distribution:
![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.
In this problem:
- During the first 6 fish, we want two red.
- The seventh being red, with a 1/9 probability, as considering 2 of the first 6 are red, one of the 9 remaining will be red.
- 15 fish, thus
. - 3 are red, thus
. - 6 fish, thus
.
![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 = 2) = h(2,15,6,3) = \frac{C_{3,2}*C_{12,4}}{C_{15,6}} = 0.2967](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20h%282%2C15%2C6%2C3%29%20%3D%20%5Cfrac%7BC_%7B3%2C2%7D%2AC_%7B12%2C4%7D%7D%7BC_%7B15%2C6%7D%7D%20%3D%200.2967)
![p = 0.2967 \times \frac{1}{9} = 0.033](https://tex.z-dn.net/?f=p%20%3D%200.2967%20%5Ctimes%20%5Cfrac%7B1%7D%7B9%7D%20%3D%200.033)
0.033 = 3.3% probability that the third red fish is the seventh fish selected.
A similar problem is given at brainly.com/question/24008577