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Answers (4)
Hint for 3: see 9.23.7 and use combination and conditional probabilities.
How can Z1 take the -1 value? I think it is rather a new binomial variable with a new parameter n and same p. Hint: So new that it changes its type of r.v.
Y1 and Y2 have X3 in common, they are not independent.
For part 2. Rate of total arrival is 5 Rate of relaxed persons to coffee shop is 2
