Question

A population consists of twenty bowerbirds, six of which have bowers featuring reflective decor. If three of the bowerbirds are randomly sampled with replacement from this population, what is closest to the expected number of them that have bowers featuring reflective decor?Group of answer choices00.90.953

Answer 1

The expected number of bowerbirds in the sample that will have bower featuring reflective color is E(X)=0.9

Explanation:

We can model this with a binomial random variable, with sample size n=3 and probability of success p=0.3.

`p=X/n=6/20=0.3`

The expected number of bowerbirds in the sample that will have bower featuring reflective color can be calculated as:

`E(X)=np=3\cdot 0.3=0.9`