Consider a motor vehicle department that operates as follows. Each customer sees a clerk (receptionist) to check their documents for accuracy. The service time per customer (in minutes) can take any value between 2 to 5 minutes. Then, each customer require service on (a) getting or renewing a driver's license or registering an automobile, or leave. 30% of customers get or renew a driver's license, 50% of the customers register an automobile and the remaining 20% of customers leave the service. The service time for getting or renewing a driver's license is gamma distributed with shape parameter 3 and scale parameter 10. Registering a car is a new service offered to customers in this department so the management lacks data to find the best distribution to represent the characteristics of this service. However, the experts believe that the service time is usually between 10 to 35 minutes with 20% chance of being less than 15 minutes, 60% chance of being less than 25 minutes and 95% chance of being less than 30 minutes. Labor costs are $20 per hour for the receptionist, $30 for the clerk who serve people getting or renewing their driver's license, $40 for the clerk who helps customer to register an automobile. Develop a simulation model for this system and answer the following questions:

a.What is the mean and standard deviation of the service time per customer (do not include waiting time)?

b.What is the probability that the service time per customer will be less than 8 minutes? What is the probability that the service time per customer will exceed 20 minutes?

c.What is the mean and standard deviation of the labor cost per customer to deliver this service?

Scholars and different analysts expounding on likelihood have quarreled over how to best decipher the numerical contraption. Here are three wide perspectives about how to decipher likelihood claims. To start with, we may take likelihood professes to be claims about the recurrence of some occasion in a grouping of occasions. For instance, on the off chance that I flip a coin multiple times and "Heads" comes up multiple times, I may say that the likelihood of "Heads" in that arrangement of flips is 53 out of 100; the recurrence with which the occasion "Heads comes up" happens in the grouping of flips. Second, we may take likelihood professes to be claims about how much we accept that some sentence is valid. For instance, in the event that I am pondering wagering on the following flip of the coin, I may accept that "Heads" will come up more emphatically than I accept that "Tails" will come up. Third, we may take likelihood professes to be claims about how much our proof backings a sentence. For instance, we may realize that at any rate one of three coin flips is "Heads" and ask how much help that provides for the case that every one of the three coin flips are "Heads."

Answer the accompanying inquiries.

a) select an understanding of likelihood from the brief above to safeguard.

b) Give purposes behind choosing/underwriting the translation you chose.

c) Give purposes behind dismissing the understandings you didn't choose.

A specialist leads a various relapse investigation with two-followed ? = .05. They foresee thermometer appraisals for Trump during the 2016 political decision (0 to 100) from two different factors. One is whether individuals concur with the assertion "social sensitivity has gone excessively far" (- 3 = emphatically dissent, 0 = neither concur or deviate, 3 = firmly concur). The other is whether individuals concur with the assertion "the US enjoys been taken benefit of in terms of professional career manages different nations" (same scale). The coefficient for apparent sensitivity is 11.5 and p = .03. The coefficient for exchange is 2.1 and p = .09. What is the scientist's considerable decision?

A)

Both review social sensitivity and exchange as an issue anticipated more prominent help for Trump

B)

Survey wokeness as an issue anticipated more prominent help for Trump, however exchange sees didn't foresee support

C)

Survey exchange as an issue anticipated more noteworthy help for Trump, yet overt sensitivity didn't foresee support

D)

is not compatible with Trump's variable

prediction. A researcher is studying whether the rain will depress voting. They compared the percentage of registered voters in areas with rain (34%) and areas without rain (45%). They used an independent sample t-test and rejected the null hypothesis. What are your substantive conclusions?

A)

Less electors turned out in places with downpour

B)

More electors turned out in places with downpour

C)

The quantity of electors turned out in places with and without downpour

D)

Can't decide from data given

A specialist needs to know whether the quantity of hours individuals spend watching satellite TV news is identified with their doubt of government (estimated 0 = don't confide in every one of the, 100 = trust definitely). Which technique will they use to test this thought?

''2''

A)

One-example t-test

B)

Relationship

C)

Straight Regression

D)

BOTH Correlation and Linear Regression would be suitable

Problem 6-33 Consider a system having four components with reliabilities through time t of: (1) 0.30 (2) 0.66 (3) 0.73 (4) 0.89 Find the system reliability assuming (a) series logic and (b) parallel logic. (a) Series Logic System Reliability= (b) Parallel Logic System Reliability= Omar Marquez is the audio engineer for Summer Musical Enterprises. The group is considering the purchase of a new sound system consisting of five separate components. The components are arranged in series with identical reliabilities. The Basic system with component reliabilities of 80% costs $1000, the Standard system with component reliabilities of 90% costs $2000, and the Professional system with component reliabilities of 99% costs $5000. The cost of a failure during a performance is $50,000. Calculate the reliability of each system. Which system would you recommend? Component No. System Purchase Failure Failure Total System Reliability Components Reliability Cost Cost Probability Cost Basic Standard Professional3.1 Compute the reliability of a three-independent-component parallel system in which all components have a reliability of 0.75. 3.2 Compute the reliability of a 3-out-of-4 system for which all components have a reliability of 0.85 and the components are independent. 3.3 Compute the system reliability for the following system assuming the components are independent and r = (0.96,0.88,0.92). 2 1 3 3.4 Assuming that the components are independent, compute the system reliability for the system of Problem 2.1 when r = (0.86, 0.90, 0.92, 0.85, 0.82,0.78,0.82). 3.5 For the system of Problem 2.5, assume that y = (0.96, 0.96, 0.96, 0.90, 0.90, 0.94, 0.94). Compute the three types of reliability bounds and the actual system reliability.1. Reliability problem: Assume that we have a system whose components are working independently. (a) Consider a series system with five components. If the reliabilities of these five components are 0.9, 0.8, 0.7, 0.6, and 0.5, calculate the reliability of the system. (b) Consider a parallel system consisting of a components, each of which having the reliability of 0.6. Calculate the minimum number of components necessary to achieve at least a 95% reliability for the system