Question

Suppose you are the proud owner of a brand new electronic billboard which contains 10,000 lightbulbs....

Suppose you are the proud owner of a brand new electronic billboard
which contains 10,000 lightbulbs. The time until burnout for each bulb is an
independent random variable following the exponential distribution with a mean
of 10 months.
a) Estimate the expected length of time until half of the bulbs have burned
out(Explain your reasoning).
b) After one month, you check on your billboard and find that 500 of the bulbs
have burned out. Now what is the expected length of time until half of the
remaining bulbs have burned out? Explain.

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