developed a new calculator that performs a series of functions not yet performed by any other calculator. The marketing department is planning to demonstrate this calculator to a group

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Southwestern Electronics has developed a new calculator that performs a series of
functions not yet performed by any other calculator. The marketing department is
planning to demonstrate this calculator to a group of potential customers, but it is
worried about some initial problems, which have resulted in 4 percent of the new
calculators developing mathematical inconsistencies. The marketing VP is planning
on randomly selecting a group of calculators for this demonstration and is worried
about the chances of selecting a calculator that could start malfunctioning. He
believes that whether or not a calculator malfunctions is a Bernoulli process, and he
is convinced that the probability of a malfunction is really about 0.04. Assuming that
the VP selects exactly 50 calculators to use in the demonstration, and using the
Poisson distribution as an approximation of the binomial, what is the chance of
getting at least three calculators that malfunction?

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