Question: #intermediate nodes count 25 15 10 1 2 3 Table Q4: # intermediate nodes traversed by 50 messages successfully delivered from A to B

#intermediate nodes count 25 15 10 1 2 3 Table Q4: #

#intermediate nodes count 25 15 10 1 2 3 Table Q4: # intermediate nodes traversed by 50 messages successfully delivered from A to B Q4. On average 1000 messages per day are successfully delivered from A to B across the network shown in Figure Q3. The engineer would like to define a random variable X as the number of intermediate nodes that a message successfully delivered from A to B will pass through. To do so, they trace 50 messages that are successfully delivered from A to B, and record the number of intermediate nodes each message passes through. The results are summarised in Table Q4. (a) Presuming that X is a discrete random variable, use the sample information to determine the cumulative distribution function, mean and variance of X. Is the sample-size of 50 messages appropriate? Why/Why not? (b) X can also be modelled as a continuous random variable, with a normal distri- bution that has the same mean and variance as the sample. Is this appropriate? Why/Why not? Support your answer by evaluating the cumulative distribution function for the values x = 1, 2 and 3 and comparing it with the discrete cumu- lative distribution function from Q4.a. 10 marks 10 marks

Step by Step Solution

★★★★★

3.45 Rating (139 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

A a The cumulative distribution function of X is determined by calculating the cumulative frequency ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

In the network shown in Figure 5PFE-3, determine the energy stored in the unknown capacitor Cx 24V Figue PFE-3

Determine i o (t) in the network shown in Fig. 16.70 . 20 + 40u(t) V (t 2 H -/4

The network shown in Figure 5.26 represents the major roads between Port Huron (node 1) and Dearborn (node 14). The values on the arcs represent the distance, in miles. Find the shortest route...

In our Nodhead example, true depreciation was decelerated. That is not always the case. For instance, figure shows how on average the value of a Boeing 737 has varied with its age. 28 Table 12.11...

Given the stresses relative to compass coordinates (x = east, y = north, z = up), xx = 14.86, yy = 21.00, zz = 29.00, yx = 8.43, xz = 0, yx = 0 in MPa with compression positive, find the...

Consider the signal with Fourier transform X () = X R () + j( X 1 ()). Determine and sketch the signal y(n) with Fourier transform Y () = X 1 () + X 1 () e j2 x(n) = {1,0. 1, 2, 3}

Consider the following frequency table of observations on the random variable X: Values 0 1 2 3 4 Frequency 4 21 10 13 2 (a) Based on these 50 observations, is a binomial distribution with n = 6 and...

Let Sn be the number of successes in n independent trials. Use the program BinomialProbabilities (Section 3.2) to compute, for given n, p, and j, the probability P (jnpq

If the range of X is the set {0, 1, 2, 3, 4} and P(X =x) =0.2 determine the mean and variance of the random variable.

The range of the random variable X is [0, 1, 2, 3, x], where x is unknown. If each value is equally likely and the mean of X is 6, determine x.

Mr. Dunn, who has a 32 percent marginal rate on ordinary income and a 15 percent marginal rate on adjusted net capital gain, recognized a $15,000 capital loss in 2019. Compute the tax savings from...

Catch a Wave Company manufactures surfboards. Its standard cost information follows: Catch a Wave has the following actual results for the month of June: Required: Calculate the following for Catch a...

Messers Up-to-date Ltd. has instructed you to prepare a cash budget for October to December from the following particulars: (i) Cash and bank balance as on October 1, 20,000. (ii) Actual and budgeted...

A CARE warehouse in Tegucigalpa, Honduras holds a variety of humanitarian inventory items such as tents, blankets, kitchen utensils, canned food, pallets of water bottles, and medical kits. Over...

Repeat Problem 92 for a diverging mirror. Comment on any similarities or differences with the two types of mirrors. Data from Problem 92 A converging mirror has a focal length of \(300...

A compound microscope consists of two converging lenses, the objective lens and the eyepiece lens, positioned on a common optical axis (Figure 33.47). The objective lens is positioned to form a real,...

63 Using the Excel 2010 Home Ribbon, which one of the following labeled items should you click in order to insert a formula to average a set of numbers in a column? * (1 Point) 0 1 09 O 11 O 12 64...

The following data are supplied for the common stocks of Nikola Corporation, Tesla, Inc. and General Motors: Nikola Corp (NKLA) Tesla Inc. (TSLA) Close Price ($) Close Price ($) 67.53 30.00 40.81...

An at-the money call written on a stock with current price St = 100 trades at 3. The corresponding at-the money put trades at 3.5. There are no transaction costs and the stock does nor pay any...

Differentiate the following functions with respect to the Wiener process Wt, and if applicable, with respect tot. (a) f(W) = W? w, f(W) = (b) f(W,) = elW?) (c) f(W,, t) = ela ,-u'e) f(W,, t) = e, (d)...

Show that as n ? ? (a) 1(1 - ).-(1 (b) (1 - )" - . (e) (1-) -1

Grace Hesketh is the owner of an extremely successful dress boutique in downtown Chicago. Although high fashion is Graces first love, shes also interested in investments, particularly bonds and other...

You have been asked for your advice in selecting a portfolio of assets and have been supplied with the following data. You have been told that you can create 2 portfoliosone consisting of assets A...

X 1 and S 2 1 are the sample mean and sample variance from a population with mean 1 and variance 1 2 . Similarly, X 2 and S 2 2 are the sample mean and sample variance from a second independent...