Question

A manager of an online shopping website finds that on average 10 customers per minute make...

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.

  1. What is the probability that during a one-minute interval on Monday, exactly 4 purchases will be made?
  2. What is the probability that during a one-minute interval on Monday, 4 or less purchases will be made?
  3. What is the probability that during a one-minute interval on Monday, more than 4 purchases will be made?
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

# a)

X~Poi(=10)

Pmf of x is

Probablity that during 1 interval on monday

# a ) exactly 4 purchase will be made

P(X=4) =.018917 Ans

# b

Probablity that during 1 interval on monday  exactly 4 purchase or less purchase will make

------------------------(1) ------ans

# c

Probablity that during 1 interval on monday  more than 4 purchase will make

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A website manager has noticed that during the evening hours, about 3 people per minute check...
A website manager has noticed that during the evening hours, about 3 people per minute check out from their shopping cart and make an online purchase. She believes that each purchase is independent of others and assumes that the distribution of number of purchases per minute on the website follows Poisson distribution. If you use excel, please explain the formulas used on the cells. What is the probability that during a 1-minute period, at least one purchase is made? What...
A website manager has noticed that during the evening​ hours, about 0.25 people per minute check...
A website manager has noticed that during the evening​ hours, about 0.25 people per minute check out from their shopping cart and make an online purchase. She believes that each purchase is independent of the others. c) What is the mean time between​ purchases? ​d) What is the probability that the time to the next purchase will be between 33 and 66 minutes?
Customers arrive at a grocery store at an average of 2.2 per minute. Assume that the...
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?
Consider a Poisson distribution with an average of 3.2 customers per minute at the local grocery...
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.
In a survey of a simple random sample of 1,500 customers who did holiday shopping online...
In a survey of a simple random sample of 1,500 customers who did holiday shopping online during last year’s holiday season, 270 indicated that they were not satisfied with their shopping experience. Of the customers who were not satisfied, 143 reported that they did not receive their purchases in time for the holidays, while 1,197 of the customers who were satisfied with their experience indicated that they did receive their purchases in time for the holidays. What is the width...
The number of customers that enter a bank follows a Poisson distribution with an average of...
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
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research...
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research department of Steele reports that 39% of the customers entering the store that indicate they are browsing will, in the end, make a purchase. Let the last 28 customers who enter the store be a sample. a. How many of these customers would you expect to make a purchase? (Round the final answer to the nearest whole number.) Number of Customers             b. What is...
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research...
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research department of Steele reports that 43% of the customers entering the store that indicate they are browsing will, in the end, make a purchase. Let the last 32 customers who enter the store be a sample. a. How many of these customers would you expect to make a purchase? (Round the final answer to the nearest whole number.) Number of Customers b. What is...
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research...
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research department of Steele reports that 32% of the customers entering the store that indicate they are browsing will, in the end, make a purchase. Let the last 25 customers who enter the store be a sample. a. How many of these customers would you expect to make a purchase? (Round the final answer to the nearest whole number.) Number of Customers            b. What is...
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research...
Steele Electronics Inc. sells expensive brands of stereo equipment in several shopping malls. The marketing research department of Steele reports that 32% of the customers entering the store that indicate they are browsing will, in the end, make a purchase. Let the last 22 customers who enter the store be a sample. a. How many of these customers would you expect to make a purchase? (Round the final answer to the nearest whole number.) Number of Customers _____ b. What...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT