Question

About 20​% of babies born with a certain ailment recover fully. a hospital is caring for sixsix babies born with this ailment. the random variable represents the number of babies that recover fully. decide whether the experiment is a binomial experiment. if it​ is, identify a​ success, specify the values of​ n, p, and​ q, and list the possible values of the random variable x.

Answer 1

Answer :

Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :

1. Fixed number of trials

2. Exactly two outcomes

3. Outcomes are independent of each other

4. Probability of all the outcomes remains constant from trial to trial.

Success in the given experiment is that the baby recovers fully.

Hospital is caring for 6 babies , n = 6

p = 0.20 ( Success )

q = 1 - 0.20 = 0.80 ( Not a success )

Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6