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Question 1
During the period from 7:00 to 8:00 a.m. the arrivals of cars at a single toll station on the Goose Neck Bridge average 40 cars per hour, according to a Poisson input process. The Toll Station has an exponential service time distribution, with a mean service time rate of 60 cars per hour.
Run a simulation to investigate.What is a 95% confidence interval for the number of cars getting across the bridge during this one hour period? (Remember CI = Mean ± 2*(std dev)/SQRT(n) )What is the probability of having two or fewer cars in the queue at the toll station during the hour?
Question 2The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. Probability distributions for the material cost, the labor cost, and the transportation cost are shown below. They plan to charge a price of $38 for the product.Run a simulation for 1000 replications calculating the profit per unit.
What do you expect their average profit to be?What is the probability they will lose money?What price would you set to ensure they make a profit 90% of the time?
Express the length of the curve as a definite integral. Obtain a numerical approximation to the value of the integral derived in (c). Describe the curve in terms of the intersection of two surfaces in space.
State the null hypothesis and alternative hypothesis in words - Identify the factor and dependent variable and Identify the p value using SPSS
A cohort study is conducted to assess the association between clinical characteristics and the risk of stroke. The study involves ,250 participants who are free of stroke at the study start. Each participant is assessed at study start (baseline) an..
Describe how homeotic mutations illustrate this point and how homeotic mutations cause altered phenotypes.
What is the distinction between ethics and morality? Discuss the different meanings of the word "ethics," and include examples that elucidate the distinctions between these definitions.
The number of typing mistakes that Ann makes on a given page has a Poisson distribution with a mean of 3 mistakes.
In New York City in the late 1970s and early 1980s, parking meter collections averaged $1.75 million per month with a standard deviation of $302 thousand per month. Assume that the amount generated per month is Normal with the mean and standard devia..
Reflexive relation: For all a ∈ Z, a - a = 0 * n. a ≡ a (mod n) Symmetric relation: Let a,b ∈ Z such that a ≡ b (mod n). There is an integer k such that a -b = kn. Multiply both sides of the equality by (-1) and let k' = -k we find that b - a ..
A hardware store stocks eight types of pipes, one of which is stainless steel (SS). Assuming there are at least 20 pipes of each type, how many ways can a total inventory of 20 pipes be distributed among the eight different types if the inventory..
use vector techniques to prove that a triangle and its medial triangle have the same centroid stating each step of the
One distributor lists ink jet printers with 360 dpi and six scalable fonts that can print envelopes, labels, and transparencies for $189.97.
What is the distance between town and John's current location?
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