In: Statistics and Probability
Gadgets&Co sells refrigerators. Any refrigerator
that malfunctions within 3 years
of purchase is replaced with a new one for free. Of all
refrigerators, 3% fail during
their first year of operation; 5% of the one-year-old refrigerators
fail within their
second year of operation, and 7% of the two-year-old refrigerators
fail within their
3
rd year of operation.
a) Estimate analytically the fraction of all refrigerators that
will have to be
replaced under the 3-year warranty scheme.
b) Construct and execute a simulation model (with 120
pseudo-realities) to
estimate the fraction of all refrigerators that will have to be
replaced under
the 3-year warranty scheme. Explain and motivate your approach.