A survey is being conducted in a city with a million (106) people. A sample of size 1000
Chapter 4, Problem 64(choose chapter or problem)
A survey is being conducted in a city with a million (106) people. A sample of size 1000 is collected by choosing people in the city at random, with replacement and with equal probabilities for everyone in the city. Find a simple, accurate approximation to the probability that at least one person will get chosen more than once (in contrast, Exercise 24 from Chapter 1 asks for an exact answer). Hint: Indicator r.v.s are useful here, but creating 1 indicator for each of the million people is not recommended since it leads to a messy calculation. Feel free to use the fact that 999 1000.
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