Question

Consider a Poisson distribution with an average of 3.2 customers per minute at the local grocery store. If X = the number of arrivals per minute, a. find the probability of less than 5 customers arriving within a minute. Round your answer to 3 decimals. b. find the probability of exactly 2 customers arriving within a minute. Round your answer to 3 decimals.

Answer #1

Consider a Poisson distribution with an average of 3 customers
per minute at the local grocery store. If x =the number per minute,
find the probability of more than 7 customers arriving within a
minute.
.0216
.0081
.0108
.0118

Customers arrive at a grocery store at an average of 2.2 per
minute. Assume that the number of arrivals in a minute follows the
Poisson distribution. Provide answers to the following to 3 decimal
places.
What is the probability that at least seven customers arrive in
three minutes, given that exactly two arrive in the first
minute?

A grocery store counts the number of customers who arrive during
an hour. The average over a year is 20 customers per hour. Assume
the arrival of customers follows a Poisson distribution. (It
usually does.)
Find the probability that at least one customer arrives in a
particular one minute period. Round your answer to 3
decimals.
Find the probability that at least two customers arrive in a
particular 4 minute period. Round your answer to four decimals.

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

A manager of an online shopping website finds that on average 10
customers per minute make a purchase on Mondays and the number of
customers is well approximated by a Poisson distribution.
Let X = the number of customers who
make a purchase in a one-minute interval on Monday.
What is the probability that during a one-minute interval on
Monday, exactly 4 purchases will be made?
What is the probability that during a one-minute interval on
Monday, 4 or less...

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...

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.
Find the probability of more than 25 people arriving within the
next two hours using the Poisson mass function.
Find the probability of more than 25 people arriving within the
next two hours using the normal approximation to the Poisson.
Compute the percent relative difference between the exact
probability computed in part 1 and...

A store typically has 5 customers arrive per hour, and arrivals
follow a Poisson distribution. What is the likelihood that a. no
customers will arrive in an hour? b. less than three customers
arrive in an hour? c. five or more customers arrive in an hour?

The average number of customers arriving at a bank branch is
eight per hour. Assume that customer arrivals follow a Poisson
process. The bank opens at 9:00 am in the morning. Answer the
following questions accordingly.
a) What is the probability that the first customer will arrive
after 9:10 am?
b) Suppose that it is now 9:15 and the first customer has
arrived at 9:12 am. What is the probability that the second
customer will arrive after 9:25 am?
c)...

Customers arrive at a supermarket check-out counter with an
average arrival rate of 9 customers per hour. Answer questions 8–10
using the preceding information and modeling this situation as a
Poisson distribution.
8. What is the probability of less than 5 customers arriving at
the supermarket check-out counter in a given 1-hour period?
a) 0.054 b) 0.446 c) 0.359 d) 0.612
9. What is the probability of exactly 12 customers arriving at
the supermarket check-out counter in a given 1-hour...

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