Question

c) explain why this is a binomial experiment. check all that apply.
there are a fixed number of pairs of eyeglasses, 12
whether or not one randomly selected pair of eyeglasses is scratched will not affect whether or not another randomly selected pair of eyeglasses is scratched
there is not a fixed number of pairs of eyeglasses
there are more than two outcomes for each pair of eyeglasses
p = 15.2% remains constant from one randomly selected pair of eyeglasses to another
there are only two outcomes for each pair of eyeglasses
whether or not one randomly selected pair of eyeglasses is scratched will affect whether or not another randomly selected pair of eyeglasses is scratched
find the probability, to 4 decimal places!

Explanation:

A binomial experiment has the following characteristics:

• A fixed number of trials (\(n = 12\) pairs of eyeglasses).
• Each trial has only two outcomes (a pair of eyeglasses is scratched or not scratched).
• The probability of success (\(p=15.2\%\) or \(0.152\)) remains constant from one trial to another.
• The trials are independent (whether one randomly - selected pair of eyeglasses is scratched will not affect whether another randomly - selected pair of eyeglasses is scratched).

Answer:

All the binomial experiment characteristics are met. So, this is a binomial experiment.