A Company Manufactures Calculators in Batches of 55 and Claims

question 4

Multiple Choice

A company manufactures calculators in batches of 55 and claims that the rate of defects is 4%. Find the probability of getting exactly 2 defects in a batch of 55 if the rate of defects is 4%. If a store receives a batch of 55 calculators and finds that there are 2 defective calculators, do they have any reason to doubt the company's claimed rate of defects?

• A) 0.0181; Yes. If the rate of defects is really 4%, the probability of finding 2 defects in a batch of 55 calculators is very small.
• B) 0.546; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 55 calculators.
• C) 0.273; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 55 calculators.
• D) 0.262; No. If the rate of defects is really 4%, it is not so unlikely to find 2 defects in a batch of 55 calculators.

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Definitions:

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Risperidone

An antipsychotic medication commonly used to treat schizophrenia and bipolar disorder, and it can also be used to treat irritability in people with autism.

Schizophrenia

A chronic and severe mental disorder affecting a person's ability to think, feel, and behave clearly, often resulting in delusions, hallucinations, and disordered thinking.

Meta-analysis

A statistical technique that combines the results of multiple studies to identify patterns, effects, or relationships in the data more effectively than in individual studies.