Question
In: Statistics and Probability
40% of all customers who enter a store will make a purchase. Suppose that 6 customers...
40% of all customers who enter a store will make a purchase. Suppose that 6 customers enter the store and that these customers make independent purchase decisions.
Round answers to four decimal places.
(1) Calculate the probability that exactly five customers make a purchase.
Probability
(2) Calculate the probability that at least three customers make a purchase.
Probability
(3) Calculate the probability that two or fewer customers make a purchase.
Probability
(4) Calculate the probability that at least one customer makes a purchase.
Probability
Solutions
orchestra answered 2 years agoRelated Solutions
Thirty percent of all customers who enter a store will make a purchase. Suppose 10 customers...
Thirty percent of all customers who enter a store will make a
purchase. Suppose 10 customers enter the store, and that they make
independent purchasing decisions.
(a) Let X be the number, out of the 10 customers in the store,
who will make a purchase. Write the binomial probability density
function for this situation.
(b) Use the binomial distribution to calculate the probability
exactly 5 customers make a purchase.
(c) Find the probability that 4 or fewer customers make a...
Two customers enter a store. Independently, they make decisions to purchase or not to purchase. The...
Two customers enter a store. Independently, they make
decisions to purchase or not to purchase. The following diagram
shows how the outcomes can occur and combine with red holding of
sequence Customer 1 does not purchase and Customer 2 does not
Purchase.
The possible outcome are shown. If the event is the
number of purchases, 3 events are possible: 0 purchases, 1
purchase, and 2 purchases.
which one rule applies to the sequence of independent
outcomes of Customer 1 and...
In a store, 40% of customers make a single purchase. This activity requires a time that...
In a store, 40% of customers make a single purchase. This
activity requires a time that has an exponential distribution with
mean 2.0 minutes. The other 60% of customers ask for information
before making a purchase. This process requires time and has a
symmetric triangular distribution with between 1 and 5 minutes (in
addition to the purchase time). Use Bernoulli, exponential and
triangular random variates to generate a sample of shopping times
for 200 customers. Plot the histogram of these...
a store finds that 30% of people who enter ghe store will make a purcahse. during...
a
store finds that 30% of people who enter ghe store will make a
purcahse. during a day 80 people enter the store.
a) find the probabilty that at least 30 people will make a
prchase
b) find the expected nimber of people who NOT make a
purchase
Customers enter the camera department of a store with an average of 14 minutes between customers....
Customers enter the camera department of a store with an average
of 14 minutes between customers.
The department is staffed by one employee, who can handle an
average of 13 customers per hour.
Assume this is a simple Poisson arrival, exponentially
distributed service time situation.
Find the following information to help the manager decide if a
second employee should be added:
The average number of customers waiting. Please keep
4 decimals.
The average time a customer waits (in minutes). Please...
Customers enter the camera department of a store with an average of 14 minutes between customers....
Customers enter the camera department of a store with an average
of 14 minutes between customers.
The department is staffed by one employee, who can handle an
average of 13 customers per hour.
Assume this is a simple Poisson arrival, exponentially
distributed service time situation.
Find the following information to help the manager decide if a
second employee should be added:
The average number of customers waiting. Please keep
4 decimals.
The average time a customer waits (in minutes). Please...
4. Customers enter a store at a rate of 3 customers per hour. a) Compute the...
4. Customers enter a store at a rate of 3 customers per
hour.
a) Compute the probability that at least two, but no more than
five customers enter the store in a given hour.
b) Compute the probability that it takes more than 30 minutes
for the first customer to enter the store this hour.
c) Suppose you know that exactly 1 customer entered the store
during a given hour. Compute the probability that the customer
entered the store between...
Suppose the manager of a shoe store wants to determine the current percentage of customers who...
Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many customers
should the manager survey in order to be 99% confident that the
estimated (sample) proportion is within 10 percentage points of the
true population proportion of customers who are males?
z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960
2.326 2.576
Suppose the manager of a shoe store wants to determine the current percentage of customers who...
Suppose the manager of a shoe store wants to determine the
current percentage of customers who are males. How many customers
should the manager survey in order to be 92% confident that the
estimated (sample) proportion is within 10 percentage points of the
true population proportion of customers who are males?
z0.10
z0.05
z0.04
z0.025
z0.01
z0.005
1.282
1.645
1.751
1.960
2.326
2.576
1.Suppose that the number of customers who enter a supermarket each hour is normally distributed with...
1.Suppose that the number of customers who enter a supermarket
each hour is normally distributed with a mean of 670 and a standard
deviation of 180. The supermarket is open 17 hours per day. What is
the probability that the total number of customers who enter the
supermarket in one day is greater than 10100? (Hint: Calculate the
average hourly number of customers necessary to exceed 10100 in one
17-hour day.)
2.Assume that women's weights are normally distributed with a...
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