43. * For each of the following scenarios, state whether the binomial distributi

Question

43. * For each of the following scenarios, state whether the binomial distribution is a reasonable model for the random variable and why. State any assumptions you make (a) 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. (b) From a batch of 50 temperature transducers, a sample of size 30 is selected without replacement. Let X denote the number of nonconforming transducers in the sample. c) Four identical electronic components are wired to a controller that can switch from a failed component to one of the remaining spares. Let X denote the number of (d) Let X denote the number of accidents that occur along the federal highways in (e) Let X denote the number of correct answers by a student taking a multiple-choice components that have failed after a specified period of operation. Arizona during a one-month period. exam in which a student can eliminate some of the choices as being incorrect in some questions, and all of the incorrect choices in other questions (f) Defects occur randomly over the surface of a semiconductor chip. However, only 80% of defects can be found by testing. A sample of 40 chips with one defect each is tested. Let X denote the number of chips in which the test finds a defect.

Explanation / Answer

a. Not binomial. We are seeing total non conforming transformers

b.not binomial.

c.binomial. each component can be categorised into succeeded or failed.

d.not binomial. Value can be any positive integer.

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