Question

The number of customers that enter a Starbucks follows a Poisson
distribution with an average of 2 customers every 15 minutes.

(a) What is the probability that on the next hour at least six
customers enter this Starbucks?

(b) Assuming that a customer just walked in, what is the
probability that the next customer walks in after 15 minutes?

(c) Suppose 5% of people who pass this Starbucks enter for a
coffee. What are the chances that among the next 50 passengers, at
least 5 enter for coffee?

Answer #1

The number of customers that enter a bank follows a Poisson
distribution with an average of 30 customers per hour. What is the
probability that exactly 3 customers would arrive during a 12
minute period?
Select one:
a. 0.4211
b. 0.1008
c. 0.2586
d. 0.1404
e. 0.0892

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
least one customer has arrived?
(b) What is the probability that at least 2 customers have
arrived?

A store lets customers enter one at a time. Suppose that the
entries follow a Poisson process with a mean of 10 customers per
hour. (a) What is the probability that exactly 11 customers enter
in a given hour?
(b) What is the probability that exactly 18 customers enter in a
given two-hour period?
(c) A new greeter starts their shift at noon. What is the
probability that they let their first customer enter before
12:15?

Suppose that the number of accidents occurring on a highway per
hour follows a Poisson distribution with a mean of 1.25.
What is the probability of exactly three accidents occur in
hour?
What is the probability of less than two accidents in ten
minutes?
What is the probability that the time between two successive
accidents is at least ten minutes?
If ten minutes have gone by without an accident, what is the
probability that an accident will occur in the...

Suppose that the number of accidents occurring on a highway per
hour follows a Poisson distribution with a mean of 1.25.
What is the probability of exactly three accidents occur in
hour?
What is the probability of less than two accidents in ten
minutes?
What is the probability that the time between two successive
accidents is at least ten minutes?
If ten minutes have gone by without an accident, what is the
probability that an accident will occur in the...

ANSWER THE FOUR PARTS OR DON'T ANSWER AT
ALL.
Mixed Poisson/exponential
Customers arrive at the drive-up
window of a fast-food restaurant at a rate of 2 per minute during
the lunch hour (12-1pm).
a. What is the probability that exactly 3 customers will arrive
in 1 minute? 1 customer will arrive in 5 minutes?
b. What is the probability that no customers will arrive in 2
minutes?
c. Given a customer has just arrived, what is the probability
that the...

The number of people arriving at an emergency room follows a Poisson distribution with a rate of 10 people per hour.
a.What is the probability that exactly 7 patients will arrive during the next hour?
b. What is the probability that at least 7 patients will arrive during the next hour?
c. How many people do you expect to arrive in the next two hours?
d. One in four patients who come to the emergency room in hospital. Calculate the...

If the number of arrivals in a cell phone shop follows a Poisson
distribution, with a reason of 10 clients per hour:
What is the probability that in the next half hour, 4 clients
arrive?
What is the probability that in the next two hours, between 18
and 22 clients arrive?
What is the average time between arrivals?
What is the median of the time between arrivals?
What is the probability that the time that transpires for the
next arrival...

Customers are arriving to a shop according to Poisson process
with mean 2.7 customers/hour. What is the probability that the next
customer will arrive after 23 minutes but before 38 minutes?

On the average, there is one new customer calling in to a call
center every 20 minutes. Assume the
number of calls follows the Poisson process.
(a) What is the probability that in the next 40 minutes, exactly 3
new customers will call?
(b) What is the probability that there are no calls in the next
hour?

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