Problem#3:Thenumber ofmessagessentperhouroveracomputernetwork has the following distribution:x = number of messages101112131415f(x)0.080.150.300.200.200.07Determinethemeanandstandarddeviationofthenumberofmessages sent per hour.

we find mean and standard deviation from the given table.

Answered: Problem#3: The number of messages sent…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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ES Chapter 09, Section 9.2, Problem 029a X Incorrect. Lazurus Steel Corporation produces iron rods that are supposed to be 36 inches long. The machine that makes these rods does not produce each rod exactly 36 inches long. The lengths of the rods are normally distributed and vary slightly. It is known that when the machine is working properly, the mean length of the rods is 36 inches. The standard deviation of the lengths of all rods produced on this machine is always equal to 0.035 inch. The quality control department at the company takes a sample of 20 such rods every week, calculates the mean length of these rods, and tests the null hypothesis, u = 36 inches, against the alternative hypothesis, u # 36 inches. If the null hypothesis is rejected, the machine is stopped and adjusted. A recent sample of 20 rods produced a mean length of 36.015 inches. Calculate the p-value for this test of hypothesis. Based on this p-value, will the quality control inspector decide to stop the machine…
1. The data are weekly averages of fasting blood glucose levels (m mols) of a diabetic patient treated with different doses of insulin (units) given over a period of 32 weeks. To recognize the trend in blood glucose change, 8 weeks from the treatment duration of first 12 weeks were chosen randomly and the data are as follows: Week 4 12 7 6 9 2 11 8 Blood sugar (m/mol): 8.1 4.0 5.3 6.1 5.7 7.3 4.8 4.6 Dose/day (units): 15 55 45 30 35 25 Lost 50 Evaluate the relationships between blood sugar levels and the dose of insulin/day. Describe and interpret this relationship?
4. Summary statistics for the data are shown in the table below. Меan Standard Deviation Iland, x 17.682 1.168 Foot, y 23.318 1.230 Pearson correlation r 0.948 (a) Find the slope by using the formula (b) Find the y-intercept by using the formula a = y – br (c) Find the regresssion equation, using the words "IHand" and "Foot," not r and y. (d) Using the regression equation, predict the foot length (in em) for someone who has a hand length of 18 cm.
Chapter 06, Section 6.3, Problem 035 The pucks used by the National Hockey League for ice hockey must weigh between 5.5 and 6.0 ounces. Suppose the weights of pucks produced at a factory are normally distributed with a mean of 5.79 ounces and a standard deviation of 0.14 ounces. What percentage of the pucks produced this factory cannot be used by the National Hockey League? Round your answer to two decimal places. The percentage of pucks that cannot be used is %.
If mean equal 10 and standard deviation equal 4 so coefficient of variation equal 10% 4% O 100% 40% 50% O
8. High levels of cholesterol in the blood increase the risk of heart disease. For 14-year-old boys, the distribution of blood cholesterol is approximately Normal with a mean of 170 milligrams of cholesterol per deciliter of blood (mg/dl) and a standard deviation of 20 mg/dl. Which equation could be used to solve for the 30th percentile of this distribution? x-170 (a)-0.30 = 20 (b) 0.30 = X-170 20 (c)-0.52 = (c) 0.30 = X-170 20 X-170 (d) 0.52= 20 170-x 20
Problem #1 By averaging their profits over each the previous 56 days (8 weeks), a small clothing store in downtown Chicago estimates their daily profit as $472 with a standard deviation of $184. You may assume that the distribution of the variable (profit) was approximately normal. 1. The owner believes that they need to achieve a daily profit of at least $440 on average to remain solvent in the business. On what percentage of days can they expect to do so? 2. On what percentage of days can they expect to turn a profit of between $430 and $480? 3. Thought Question: The standard deviation for this store is fairly high. Can you think why this may be? Is there something the owner might do in order to come up with numbers that would allow for improved predictions? Hint: Take a closer look at the first sentence of the problem.
12. The following means, standard deviations and correlations are found for X1 = = seed hay crop in cwts. per acre, X2 = spring rainfall in inches, X3 = accumulated temperature above 42° F in spring, in a certain district of England during twenty years. %3D |3D X = 28-02, 01=4-42, r12 =+ 0-80, 0.40, X2 = 4.91, 02 = 1·10, r13 =- -- Ò -56. %3D X3 = 594, ơ3 = 85, r23 = - 0-56. %3D Find the partial correlations and the regression equations for hay-crop on spring rainfall and accumulated temperature,
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Problem#3: The number of messages sent per hour over a computer network has the following distribution: x = number of messages 10 11 12 13 14 15 f(x) 0.08 0.15 0.30 0.20 0.20 0.07 Determine the mean and standard deviation of the number of messages sent per hour.