![deanazilyiah](/avatars/24113.jpg)
deanazilyiah
07.04.2020 •
Mathematics
As part of a project targeted at improving the services of a local bakery, a management consultant monitored customer arrivals for several Saturdays and Sundays. Using the arrival data, she estimated the average number of customers arrivals per 10-minute period on Saturdays to be 6.2. She assumed that arrivals per 10-minute interval followed the Poisson distribution shown in the table.
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13
p(x) .002 .013 - .081 .125 .155 - .142 .110 .076 - .026 .014 .007
(a) Compute the missing probabilities.
(b) Plot the distribution.
(c) Find mean (mu) and standard deviation (σ) and plot the intervals (μ) +/- (σ), (μ) +/- 2(σ), and (μ) +/- 3(σ) on your plot of part (b).
(d) The owner of the bakery claims that more than 75 customers per hour enter the store on saturdays. Based on the consultant's data, is this likely? Explain.
Solved
Show answers
More tips
- C Computers and Internet Discovering the Differences Between iPad Wi-Fi and iPad 3G...
- F Food and Cooking What s the Best Rice for Cooking Plov?...
- F Family and Home How to Remove Fading from Clothes: Tips and Tricks...
- F Food and Cooking How to Make Polendwitsa at Home?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- L Leisure and Entertainment How to Choose the Perfect Gift for Men on February 23rd?...
- H Health and Medicine How to Treat Whooping Cough in Children?...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics Acow flies to a point that is 1 mile east and 20 miles south of its starting point. how far does the crow fly?...
- M Mathematics Brittany is buying t-shirts and jeans for her new job. t-shirts cost 10.50 and jeans cost 26.50 she buys 3 t-shirts and 3 pairs of jeans. illustrate the distributive property by writing...
- M Mathematics What is the smallest angle of rotational symmetry for a square?...
- M Mathematics The measure of a is 4 degrees greater than the measure of b. the two angles are complementary. find the measure of each angle...
- M Mathematics If 9: x = x: 4, then x is 6. true or false...
- M Mathematics For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output? both compositions produce the same output. neither composition produces an output....
- M Mathematics If lance armstrong can average 32 mph for 90 minutes, he will have traveled miles....
- M Mathematics The price for four pounds of bananas is $3 which is a rate of...
- M Mathematics How do i solve y=4y and x+y=5 while solving systems by subtitution...
- M Mathematics Which is an accurate description of rights guaranteed to blacks in the united states before the civil war? a. free blacks did not have to pay taxes but did have the duty to sit on...
Ответ:
a) x 0 1 2 3 4 5 6 7 8 9 10 11 12 13
p(x) .002 .013 .039 .081 .125 .155 .160 .142 .110 .076 0.047 .026 .014 .007
b) Attached
c) Mean = 6.2
Standard deviation = 2.5
The plor is attached.
d) More than 75 customers per hour is very unlikely.
Step-by-step explanation:
The table for the probabilities is:
x 0 1 2 3 4 5 6 7 8 9 10 11 12 13
p(x) .002 .013 - .081 .125 .155 - .142 .110 .076 - .026 .014 .007
"x" represents 10-minute intervals and P(x) is:
The missing spots are for x=2, x=6 and x=10.
b) Attached
c) The mean and standard deviation of the Poisson distribution are:
Plot attached: (μ) +/- (σ) in blue, (μ) +/- 2(σ) in yelow, and (μ) +/- 3(σ) in green
d) The claim of more than 75 customers per hour means 12.5 customers per 10-minute period.
This value represents 2.52 standards deviation from the mean value (6.2 customers) and has a probability of less than P=0.025.
So we can conclude that more than 75 customers per hour is very unlikely.
Ответ:
Step-by-step explanation:
It is mentioned that the rate is constant at $85 per hour. Since, on Wednesday, Nita worked for 8 hours, she would earn 85*8 = $680. In addition to this, she also received a tip of $12. Thus, she earned a total of $680 + $12 = $692.