Question

In: Statistics and Probability

Stop and Shop grocery shops Incorporation study showed that 50% of all customers will return to...

Stop and Shop grocery shops Incorporation study showed that 50% of all customers will return to the same grocery shop. Suppose six customers are selected at random, what is the probability that:

(a) Exactly two customers will return?

(b) All six customers will return?

(c) At least five customers will return?

(d) At least one customer will return?

(e) How many customers would be expected to return to the same store?

Solutions

Expert Solution

x P(X=x)
0 0.0156
1 0.0938
2 0.2344
3 0.3125
4 0.2344
5 0.0938
6 0.0156


Related Solutions

Two shops A and B attract two types of customers: price-sensitive customers, who shop at the...
Two shops A and B attract two types of customers: price-sensitive customers, who shop at the lower-priced shop, and time-sensitive customers, who shop at whichever shop is on their side of the street. A customer of either type purchases on average 10 goods. Assume there are 800 price-sensitive customers and 500 time-sensitive customers buying goods on any given day. The wholesale price the shop pay per good is $3. For simplicity, assume that they can charge $3.50, $4.00, or $4.50...
A study of 50 people who were not on a diet showed that they consumed an...
A study of 50 people who were not on a diet showed that they consumed an average of 2200 calories in a day, with a standard deviation of 400 calories per day. For 40 people who were on a diet, they consumed an average of 2100 calories per day, with a standard deviation of 250 calories per day. Assume both populations are normally distributed. a) Test the claim that people on a diet consume fewer calories. b) Test the claim...
(Operations Management) The grocery store gets an average of 50 customers per shift. The manager wants...
(Operations Management) The grocery store gets an average of 50 customers per shift. The manager wants to calculate whether he should hire one, two, three, or four salespeople. The average waiting times will be seven minutes with one salesperson, four minutes with two salespeople, three minutes with three salespeople, and two minutes with four salespeople. He has estimated the cost per minute that customers wait at $1. The cost per salesperson per shift (including fringe benefits) is $70. Analyze to...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at her shop. She selects a random sample of 60 customers during a certain week. Data are available in the worksheet labeled “Problem 2” in the spreadsheet. 1. Construct a 90% confidence interval on the proportion of customers who say they “definitely will” recommend the specialty coffee shop to family and friends. Problem 2 Data Set Note: Y is an indicator variable, i.e., if Y=1,...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at her shop. She selects a random sample of 60 customers during a certain week. Data are available in the worksheet labeled “Problem 2” in the spreadsheet Final_SU2020_Data_Sets.xlsx. 1. At the ? = 0.1 level of significance, is there evidence that more than 50% of the customers say they “definitely will” recommend the specialty coffee shop to family and friends? 2. Construct a 90% confidence...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at her shop. She selects a random sample of 60 customers during a certain week. Data are available in the worksheet labeled “Problem 2”. 1. At the a = 0.1 level of significance, is there evidence that more than 50% of the customers say they “definitely will” recommend the specialty coffee shop to family and friends? 2. Construct a 90% confidence interval on the proportion...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at...
The owner of a specialty coffee shop wants to study coffee purchasing habits of customers at her shop. She selects a random sample of 60 customers during a certain week, with the following results: • The amount spent was X = +7.25, S = +1.75. • Thirty-one customers say they “definitely will” recommend the specialty coffee shop to family and friends. a. At the 0.05 level of significance, is there evidence that the population mean amount spent was different from...
A shop sells one new designed jacket. Of the customers who buy this jacket, 50% choose...
A shop sells one new designed jacket. Of the customers who buy this jacket, 50% choose the color black, 30% choose dark blue, and 20% choose green. Assume choice of color is made independently by different customers. 1. Calculate the probability that among the next 10 customers who buy the jacket, the first 6 will choose black jackets and the next 4 will not choose black jackets. 2. Calculate the probability that exactly one of the next 10 customers who...
At a certain coffee​ shop, all the customers buy a cup of coffee and some also...
At a certain coffee​ shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the number of cups he sells each day is normally distributed with a mean of 330 cups and a standard deviation of 23 cups. He also believes that the number of doughnuts he sells each day is independent of the coffee sales and is normally distributed with a mean of 170 doughnuts and a standard deviation...
At a certain coffee​ shop, all the customers buy a cup of coffee and some also...
At a certain coffee​ shop, all the customers buy a cup of coffee and some also buy a doughnut. The shop owner believes that the number of cups he sells each day is normally distributed with a mean of 340 cups and a standard deviation of 18 cups. He also believes that the number of doughnuts he sells each day is independent of the coffee sales and is normally distributed with a mean of 180 doughnuts and a standard deviation...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT