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.
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:
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
Then the estimated number of clownfish in the store that have fin rot will be given by the expected value. Then we have
Learn more about binomial distribution here:
#SPJ1