The estimated value is given by the expected value. The estimated number of clownfish in the store that have fin rot will be 216.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
![X \sim B(n,p)](https://tex.z-dn.net/?f=X%20%5Csim%20B%28n%2Cp%29)
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
The expected value of X is:
![E(X) = np\\](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np%5C%5C)
Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish.
He collects and inspects 5 fish from each tank and finds that 3 fish have fin rot
Then the estimated number of clownfish in the store that have fin rot.
The number of the clownfish in the store will be
n = 12 × 30
n= 360
Then the value of p will be
![p= \dfrac{3}{5}\\\\p = 0.6](https://tex.z-dn.net/?f=p%3D%20%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5Cp%20%3D%200.6)
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
![E(X) = 360 \times 0.6\\\\E(X) = 216](https://tex.z-dn.net/?f=E%28X%29%20%3D%20360%20%5Ctimes%200.6%5C%5C%5C%5CE%28X%29%20%3D%20216)
Learn more about binomial distribution here:
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The price is p.
Four more than the price is four more than p, so it is p + 4.
Answer:
The Answer Would Be 4 Participants Will Be able to eat 5 pies in 20 minutes
Step-by-step explanation:
You Would Divide 20 With 4
Answer:
55/2574 ≈ 2.18%
Step-by-step explanation:
There are a total of 13 people on the council.
The probability that the first person is a Democrat is 8/13.
The probability that the second person is a Democrat is 7/12.
The probability that the third person is a Republican is 5/11.
The probability that the fourth person is a Republican is 4/10.
The probability that the fifth person is a Republican is 3/9.
The total probability is:
P = (8/13) (7/12) (5/11) (4/10) (3/9)
P = 56/2574
P ≈ 0.0218
There is a 2.18% probability of selecting two Democrats and three Republicans.