3. If Y has a geometric distribution with success probability p, show that P(Y = an odd integer) = P 1 - 94 [Hint: A part of the example from lecture showing that ) q' 'p = 1 may help with this proof!] Prob. & Stats/GHW5 - Page 3 of 3- 4. A smog alert has been called in a small city with 10 industrial firms. An inspector will visit 5 of these firms (randomly selected without replacement). If 3 of the 10 firms are in violation of at least one regu- lation, what is the probability: (a) (2 pts) the inspector will visit exactly 2 firms that are in violation? (b) (2 pts) the inspector will visit at least two firms that are in violation