Question

g 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

a ) 0.9

Expected number of bower-birds that have bowers featuring reflective decor

μ = 0.9

Explanation:

Explanation:-

Given Sample size 'n' = 20

Given data A population consists of twenty bower-birds, six of which have bowers featuring reflective decor.

probability of success

`p = (x)/(n) = (6)/(20) =0.3`

Given three of the bower-birds are randomly sampled with replacement from this population.

So we will choose sample size 'n'= 3

Let 'X' be the random variable in binomial distribution

Expected number of bower-birds that have bowers featuring reflective decor

μ = n p

= 3 × 0.3

=0.9

conclusion:-

Expected number of bower-birds that have bowers featuring reflective decor

μ = 0.9