Describe what is considered a Layer 1 WAN Technology, mention the names of the 4 better known technologies, and give one characteristic for each.

Describe what is considered Layer 2 WAN technologies, mention the names of the 3 better known technologies, and give one characteristic for each.

1)How many license plates are there if they start with three capital letters followed by 4 digits from 0 to 9. (Note that letters and digits can be repeated?

2)In how many ways can 5 men and 5 women be arranged in a line if the line starts with a man, and the men and women alternate?

1. what is the oxidation number of I in the poly atomic anion perioddate IO^4- a. +7 B. -1 C. 0 D. +5

Question 1. Samples of n = 4 items are taken from a process at regular intervals. A normally distributed quality characteristic is measured and x-bar and s values are calculated at each sample. After 50 subgroups have been analyzed, we have

? x?_i = 1,000 and ? s_i = 72

(A) Compute the control limit for the x and s control charts

(B)Assume that all points on both charts plot within the control limits. What are the natural tolerance limits of the process?

(C) if the specifications limits are 19 + 4.0 what are your conclusions regarding the ability of the process to produce items conforming to specifications?

(D) Assuming that if an item exceeds the upper specification limit it can be reworked, and if it is below the lower specification limit it must be scrapped, what percentage scrap and rework is the process now producing?

(E) If the process were centered at u = 19.0, what would be the effect on percentage scrap and rework?

The graph of f(x) =2x + 1 is given below.

a. Use 4 approximating rectangles with right hand endpoints to approximate the area under f(x) between x = 0 and x = 2.

b. Use a definite integral to find the exact area over the interval [0. 2].

1.A Five hours after the start of an experiment, there were 700 bacteria, and 4 hours after that there were 1200 bacteria. Write a formula for N, the number of bacteria t hours after the start of the experiment, assuming that N is an exponential function.

1.B Let g(x) = 500e.^.06x.Write the inverse of g and specify its domain.

1C. For an investment to double in 20 years, what is the percentage rate of growth(to the nearest percent) necessary? ] Use P = e^rt

1.D. An isotope has a half-life of 7 hours, how much will be left after one day?

Assume X ~ ? (10, 4) where ? implies unknown.

1. What is the (approximate) distribution of x if the sample size is 100? Briefly discuss the theorem underlying your answer.

2. What happens to the variance of x as the sample size increases? Draw a diagram and explain.

3. What two values of x (symmetric around the population mean) contain a) 75% and b) 95% of the distribution? Draw a diagram. Relate your answer to b) to the empirical rule.

The Romer model can be described by 4 equations:
Y_t = A_tL_yt

∆A_t+1 = zA_tL_at

L_yt + L_at = L

L_at = IL

Y is final output, A is ideas/knowledge, L_y is employment in production of final output, L_a is the number of researchers and L is the population.

a) What is the driver of long-run growth in this model?

b) Using the equations in the question, show that the growth rate of output per capita can be written as g = zlL. Explain the intuition for this result.

c) During a business trip abroad, you notice that researchers in the foreign country are much more productive than in your home country. You advise your government how to raise the productivity of research at home. How would you model the effect of this using the Romer model? Show what happens using a chart of GDP per capita over time .