Question

Nemo's fish store has 12 tanks of clownfish: each tank holds 30 fish. He collects

Answer 1

The estimated value is given by the expected value. The estimated number of clownfish in the store that have fin rot will be 216.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

$X \sim B(n,p)$

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:

$E(X) = np$

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

$p= \dfrac{3}{5}\\\\p = 0.6$

Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have

$E(X) = 360 \times 0.6\\\\E(X) = 216$

Learn more about binomial distribution here:

brainly.com/question/13609688

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