Question

Customers arrive to a savings bank according to a Poisson distribution with mean 3 per hour. Then, they either complete a transaction with a bank teller or meet with a financial officer, and leave the bank when they are done.

- What is the probability that exactly 2 customers arrive in the next three hours?
- What is the probability that at least 3 customers arrive in the next two hours?
- What is the probability that nobody arrives in the next 30 minutes?

Answer #1

Customers arrive at a bank according to a Poisson process with
rate 10 per hour.
Given that two customers arrived in the ﬁrst 5 minutes, what is
the probability that
(a) both arrived in the ﬁrst 2 minutes.
(b) at least one arrived in the ﬁrst 2 minutes.

Customers arrive at bank according to a Poisson process with
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customers. When the lobby is full, an arriving customers goes to
another branch and is lost. The bank manager assigns one teller to
customer service as long as the number of customers in the lobby is
3 or less. She assigns two tellers if the number is more than 3 but
less than 8. Otherwise she assigns...

Customers are arriving to a shop according to Poisson process
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At an airport domestic flight arrive according to a Poisson
distribution with rate 5 per hour, and international flights arrive
according to a Poisson distribution with rate 1 per hour. What is
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B. Customers arrive at a restaurant according to a Poisson
process. On the average, a customer arrives every half hour.
(a) What is the probability that, 1 hour after opening, there at
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(b) What is the probability that at least 2 customers have
arrived?

Customers arrive at Lily’s Barber Shop during a day in any
particular business hour according to a Poisson distribution with a
rate of ? = 2 per hour. Now the shop has two barbers who can each
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(i) The probability that we will observe customers waiting
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(ii) The probability that Lisa will find the shop empty when she...

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At ABC Bank, customers arrive at a teller line at a rate of 10
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the following questions: (8 points)
a.What is the probability that no customers arrive in a
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b.What is the probability that 3 or fewer customers arrive in a
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c.What is the probability that no customers arrive in a
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Suppose that customers arrive at a bank at a rate of 10 per
hour. Assume that the number of customer arrivals X follows a
Poisson distribution.
1. Find the probability of more than 25 people arriving within
the next two hours using the Poisson mass function.
2. Find the probability of more than 25 people arriving within
the next two hours using the normal approximation to the
Poisson.
3. Compute the percent relative difference between the exact
probability computed in...

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