Question

Determine whether the given procedure results in a binomial distribution​ (or a distribution that can be treated as​ binomial). If the procedure is not​ binomial, identify at least one requirement that is not satisfied. The YSORT method of gender​ selection, developed by the Genetics​ & IVF​ Institute, was designed to increase the likelihood that a baby will be a boy. When 150 couples use the YSORT method and give birth to 150 ​babies, the genders of the babies are recorded. Does the procedure represent a binomial​ distribution? A. ​No, because there are more than two categories for each trial. B. ​No, because the trials of the procedure are not independent. C. ​Yes, because the procedure satisfies all the criteria for a binomial distribution. D. ​No, because the probability of success differs from trial to trial.

Answer 1

The correct answer is C)

Step-by-step explanation:

1. The number of couples who used YSORT method (x) = 150
2. That is, the number of couples who used YSORT method is limited or defined or definite.
3. The probability of giving birth to a boy, for each couple is 1/2 or 0.5
4. The gender of the baby born in each case mutually exclusive (Independent)

We can conclude that the procedure results in a binomial distribution because the assumptions of the binomial distribution are met.

Cheers!