1 .
Elisa Kazan has successfully completed her first term as President of the Carleton Computer Science
Society. In order to celebrate this, Elisa decides to spend an evening in the Hyacintho Cactus Bar
and Grill in downtown Ottawa. During this evening, Tan Tran is working as a server. Since Tan has
been studying very hard for COMP 2804, he is a bit absent-minded: Every time a customer orders a
drink, Tan serves the wrong drink with probability 1/12, independently of other orders.
Elisa orders 7 ciders, one cider at a time. Let $(D_1,D_2,\dots,D_7)$ be the sequence of drinks that Tan serves. Define the following random variable $X$:
Elisa orders 7 ciders, one cider at a time. Let $(D_1,D_2,\dots,D_7)$ be the sequence of drinks that Tan serves. Define the following random variable $X$:
- X = the number of indices $i$ such that $D_i$ is a cider and $D_{i+1}$ is not a cider.
(a)
55/144
(b)
77/144
(c)
66/144
(d)
44/144