For each scenario described, state whether or not the binomial distribution is a

Question

For each scenario described, state whether or not the binomial distribution is a reasonable model for the random variable.   If binomial distribution is not reasonable give a reason why not.

A. Let X denote the number of express mail packages received by the post office in a 24-hour period. B. Let X denote the number of correct answers by a student taking a 25 question multiple choice exam in which a student can eliminate some of the choices as being incorrect in some questions and al of the incorrect choices in other questions C. A filling operation attempts to fill detergent packages to the advertised weight. Let X denoted the number of detergent packages that are under filled out of 60 D. Let X denote the number of contamination particles found on 40 randomly selected semiconductor chips E. A production process produces thousands of temperature transducers. Let X denote the number of nonconforming transducers in a sample of size 30 selected at random from the process.

Explanation / Answer

The following are the conditions to be met to be binomial distribution

1) Outcomes must independent

2) Number of trials must be known

3) Probability of success and failure shall be constant

4) There can pnly be two outcomes (success and failure)

A) Binomial

B) Not Binomial - Probability of success varies

C) Not Binomial - The events cannot be considered independent

D) Binomial

E) Binomial  

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