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Chapter 5: Q5 (page 209)

Identifying Binomial Distributions. In Exercises 5鈥�12, determine whether the given procedure results in a binomial distribution (or a distribution that can be treated as binomial). For those that are not binomial, identify at least one requirement that is not satisfied.

Clinical Trial of YSORT 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 291 couples used the YSORT method and gave birth to 291 babies, the weights of the babies were recorded.

Short Answer

Expert verified

The given situation cannot be approximated using the binomial distribution as the baby's weight has more than two possible outcomes.

Step by step solution

01

Given information

Out of 291 couples who used the YSORT method to give birth to 291 babies, the weights of the 291 babies are recorded.

02

Assumptions of binomial distribution

The following assumptions of the binomial distribution should be satisfied:

  • The procedure should have a fixed number of trials.
  • The trials should be independent.
  • Each trial should have outcomes that are of exactly two kinds: success and failure.
  • The probability of success should be the same for all the trials.
03

Violation of an assumption

Out of the given set of assumptions required for a procedure to follow the binomial distribution,one such assumption is that the outcomes of the event whose probability is to be computed should be of exactly two kinds.

One outcome is considered as the success, and the remaining outcome is considered as the failure.

Here, the weight of a baby is recorded.

Weight can have more than two possible outcomes.

Therefore, the given situation cannot be modeled using the binomial distribution.

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