Orders arrive at a Web site according to a Poisson process with a mean of 12 per
Question:
Orders arrive at a Web site according to a Poisson process with a mean of 12 per hour. Determine the following:
(a) Probability of no orders in five minutes.
(b) Probability of 3 or more orders in five minutes.
(c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
a Let X denote the number of orders that arrive in 5 minutes Then X is a ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Applied Statistics And Probability For Engineers
ISBN: 9781118539712
6th Edition
Authors: Douglas C. Montgomery, George C. Runger
Question Posted:
Students also viewed these Mathematics questions
-
A gas station with only one gas pump employs the following policy: If a customer has to wait, the price is $3.50 per gallon; if she does not have to wait, the price is $4.00 per gallon. Customers...
-
Consider a queueing system with two types of customers. Type 1 customers arrive according to a Poisson process with a mean rate of 5 per hour. Type 2 customers also arrive according to a Poisson...
-
Trucks arrive at a warehouse according to a Poisson process with a mean rate of 4 per hour. Only one truck can be loaded at a time. The time required to load a truck has an exponential distribution...
-
(a) Find an equation of the normal line to the ellipse at the point (4, 2). (b) Use a graphing utility to graph the ellipse and the normal line. (c) At what other point does the normal line intersect...
-
The total energy need during pregnancy is normally distributed, with mean = 2600 kcal/day and standard deviation = 50 kcal/day. Source: American Dietetic Association (a) Is total energy need during...
-
Did the Pub Zone have a duty to protect Kuehn from the Pagans attack?
-
Define anti-patterns, functional decomposition and the relationship between them.
-
Due to a crisis in subprime lending, obtaining a mortgage has become difficult even for people with solid credit. In a report by the Associated Press (August 25, 2007), sales of existing homes fell...
-
How is General Electric case using analytics for process improvement?
-
Monthly usage data for pallets used in a distribution center are as follows: a. Calculate the monthly usage index for each month. b. Use simple linear regression to forecast the total usage of...
-
A total of 12 cells are replicated. Freshly synthesized DNA cannot be replicated again until mitosis is completed. Two control mechanisms have been identifiedone positive and one negativethat are...
-
Consider the hospital patients in Example 2-8. Two patients are selected randomly, with replacement, from the total patients at Hospital. What is the probability mass function of the number of...
-
The motion of an oscillating flywheel is defined by the relation = 0e3t cos4t, where is expressed in radians and t in seconds. Knowing that 0 = 0.5 rad, determine the angular coordinate, the...
-
What are the three levels of brand loyalty? List and explain each level succinctly.
-
You are working at La Pizza Buonaan Italian chain of restaurants in North Dakota. Since last year we have seen a decline in visits and the marketing department is looking for new ideas. They want to...
-
Describe "Place", as it relates to the third "P" of social marketing. Thinking of the past COVID-19 vaccination efforts in Canada, recommend at least two ways to save the priority audience some time,...
-
It is said that packaging and labeling are important considerations in branding strategy. Explain why?
-
Changes to the financing cost target are made because of different market pointers trying to gauge monetary patterns and in this manner keep the market on target towards accomplishing the...
-
Which of the following applications are classified as VBR-NRT in ATM? a. HTTP b. SNMP c. SMTP d. VoIP
-
One hundred pounds of water at atmospheric pressure are heated from 60F to 200F. What is the enthalpy change? The internal energy change? Why is the difference between the internal energy change and...
-
If there are 12,000 births in the census tract in 1 year, then what is the probability that there will be at least 8 cases of the birth defect during the year (census tract B in Table 4.21)? Table...
-
If there are 5000 births in the census tract in 1 year, then what is the probability that there will be exactly 5 cases of the birth defect during the year (census tract A in Table 4.21)? Table 4.21:...
-
Suppose a child is born with the birth defect but the address of the mother is unknown. What is the probability that the child comes from a low SES census tract? Suppose a city is divided into eight...
-
Gilbert Canned Produce (GCP) packs and sells three varieties of canned produce: green beans; sweet peas; and tomatoes. The company is currently operating at 82 percent of capacity. Worried about the...
-
The accounting records of Allen Insulation, Inc. reflected the following balances as of January 1, 20x0: Beginning Inventory: $190 units @ $120 The following transactions occurred in 20x0: January...
-
Sarasota Limited has a calendar-year accounting period. The following errors were discovered in 2023. 1. The December 31, 2021 merchandise inventory had been understated by $50,400. 2. 3. Merchandise...
Study smarter with the SolutionInn App