Unformatted text preview: to bring the on hand inventory to 6 brushes 2. Consider a bank with two tellers. Teller 1 has an exponential service time with mean 3 minutes and teller 2 has an exponential service time with mean 6 minutes. Alice, Betty, and Carol enter the bank at the same time. Alice goes to teller 1 and Betty goes to teller 2 while Carol waits for the ﬁrst available teller. (a) What is the expected time that Carol spends in the bank? (b) What is the expected time until the last of the three customers leaves the bank? (c) What is the probability that Carol is the last one to leave? 3. Sue and Liz arrive at a beauty salon together and plan to leave together. Sue needs a perm, and Liz a manicure. The duration of a perm is exponentially distributed with rate 5 /hr ; that of a manicure is exponentially distributed with rate 10 /hr . If both are served immediately, what is expected duration one has to wait for the other?...
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- Fall '07
- Probability theory, English-language films, carol, Exponential service time, management orders