(e) Either the plant at site 1 or both of the other plants are completed by the contract date. O A, NA, NA, O A, U (A, N Ag) O A, NA,'N Ag' O A, U A, U A3 O (A, NA,'NA,) u (A,'NA, nA;)u (A,'nA,'NA;) A Subscript|1 a Subscript|2] A Subscript[1 a Subscript|2] A Subscript|3) A Subscript|3] A Subscript|1 subscript|2] A Subscript| 1 subscript|2]

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
1st blank: 0.6267, 0.5006, 33, 0.7843 2nd blank: 1.44, 2.25, 1.15, 1.80 3rd blank: 0.7843, 0.6267, 0.5006, 0.4 4th blank: 2.25, 1.80, 1.15, 1.44 5th blank: larger or smaller 6th blank: 0.2689, 0.1293, 0.0145, 0.0378 7th blank: 0.0378, 0.1293, 0.0100, 0.2612 8th blank: flatter and more spread out or more like the z distribution
1. Due to the high incidence of crime, a company is giving its employees new and secured access to the company. Instead of leaving the doors open, they are installing a card system. To open the door, employees must insert a card into a slot. If a green light comes on, it is okay to turn the handle and open the door; if a yellow light comes on it indicates the door is locked from inside and you cannot enter. Suppose that 90% of the time when the card is inserted, the door should open because it is not locked from the inside. When the door should open, the system makes errors 2% of the time. That is, the green light will appear 98% of the time. When the door should not open, the system makes errors 5% of the time (green light appears). Suppose you inserted the card and the light is green, what is the probability the door will open?
A researcher has discovered six new species of insects overseas and needs to transport them home. Some species will harm each other and so cannot be transported in the same container. Species A cannot be housed with species C or F.Species B cannot be housed with species D or F.Species C cannot be housed with species A, D, or E.Species D cannot be housed with species B, C, or F.Species E cannot be housed with species C or F.Species F cannot be housed with species A, B, D, or E. Use graph coloring to determine the minimum number of containers the researcher will need to transport the insects
Consider a screening system that analyzes the luggage that is being loadedto a plane. Each package first goes through a screening device. If it passes the test there, then it is loaded to the plane. If it does not, the package goes to a second screening device. The procedure is similar for the second device: if the luggage passes the test, it is loaded to the plane, if it fails, it issent to a third device. Packages that passes the test at third device are loladed to the plane, the ones that fail are taken paprt and not loaded to the plane.The screening devices i = 1; 2; 3 are not perfect. For each device, there are two risks:– With probability pi, each device erroneously passes a bag that is dangerous, given that previous devices have correctly rejected the bag.– With probability qi, each device erroneously fails a harmless bag that previous devices have also erroneously failed.Assume that pi; qi > 0 What is the probability that a dangerous package will be loaded to the aircraft?…
10 assume that the number of production defects is 26 and that 12 of these are classified as major defects, 7 are classified as design defects, and 11 were neither major defects nor design defects. How many of the design defects were major?
A researcher is interested in understanding how the flexibility of vacation policies at a company influence employee satisfaction with their job. Company 1, Vance Refrigeration, has a 2 week vacation policy in which employees can take those 2 weeks at any time during the year. Company 2, Dunder Mifflin Paper Company, has a 2 week vacation policy in which employees can only take vacation days during specific pre-approved times of year. What is the confound?
The cashier line of a canteen can facilitate up to 60 customers an hour. Frequenters of the canteen arrive at an average of 50 an hour. Suppose that management wants to evaluate the desirability of opening a second order-processing station so that two customers can be served simultaneously. Assume a single waiting line with the first customer in line moving to the first available server. a. What is the average arrival time in minutes of customers? b. What is the average service time in minutes of the canteen? c. What is the probability that the canteen has a customer?
The dependencies between the 10 activities listed in the table above are as follows:• The project starts with two activities—A, and B—which can be done concurrently.• When activity A is finished, activity C can start• When activity B is finished, activities D and E can start• When both activities C and D are finished, activity F can start• When activity E is finished, activity G can start• When activity F is finished, activity H can start• When both activities G and H are finished, activity I can start• When activity G is finished, activity J can start• The project is complete when activities I and J are finished Questions1. Organize the information above in an activity precedence table showing the activity, precedent and duration (calculated using the PERT weighted average formula and round to the nearest integer).2. Draw an AON network diagram and calculate its early start, early finish, late start and late finish times, floats (Free and total) for each activity. Make sure you…
In his doctoral thesis, L. A. Beckel (University of Minnesota, 1982) studied the social behavior of river otters during the mating season. An important role in the bonding process of river otters is very short periods of social grooming. After extensive observations, Dr. Beckel found that one group of river otters under study had a frequency of initiating grooming of approximately 1.7 for each 10 minutes. Suppose that you are observing river otters for 40 minutes. Let r = 0, 1, 2, ... be a random variable that represents the number of times (in a 40-minute interval) one otter initiates social grooming of another. Lambda = 6.8 (b) Find the probabilities that in your 40 minutes of observation, one otter will initiate social grooming four times, five times, and six times. (Round your answers to four decimal places.) P(4) = P(5) = P(6) =
An engineering company will hire new staff to develop new products, using production teams of engineers (core staff) and support staff on each team. Teams are labeled as: Design, Production, Analysis, Test. The core staff numbers in each team and the total number of engineers in each field to be recruited are as follows: Each design team consists of 2 Construction / environment, 4 Mechanical / design and 2 computer / software personnel; each production team consists of 3 construction/environmental, 0 mechanical/design and 6 computer/software personnel; and such that.)Accordingly, if x1, x2, x3 and x4 are the number of design, production, analysis and testing teams, respectively, find these values.
Suppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she must choose between working q hours and not working at all, where q > 0. Suppose that dividend income is zero, and that the consumer pays a tax T if he or she works, and receives a benefit b when not working, interpreted as an unemployment insurance payment. a. If the wage rate increases, how does this affect the consumer’s hours of work? What does this have to say about what we would observe about the behavior of actual consumers when wages change? Explained also with the graph b. Suppose that the unemployment insurance benefit increases. How will this affect hours of work? Explain the implications of this for unemployment insurance programs. Explained also with the graph