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Light bulbs produced by a manufacturer come in two types: A and B.
Light bulbs produced by a manufacturer come in two types: A and B. Those of type A are
known to have the longest lifetime, with expected lifetime of 5 years, while those of type B have
an expected lifetime of 1 year. You may assume that each light bulb has a lifetime governed
by an exponential distribution. Let TA, TB denote the random variables associated to the light
bulb lifetimes (in years) of types A and B, respectively. In the following, assume that TA and
TB are independent.
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