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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calculate the following class frequency 500-750 15 750-1000 23 1000-1250 55 1250-1500 92 1500-1750 65 1750-2000 50 (a) Calculate the variance (b) Standard deviation (c) The coefficient of the variation
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 39 beats per minute, the mean of the listed pulse rates is x = 78.0 beats per minute, and their standard deviation is s = 13.1 beats per minute. %3D a. What is the difference between the pulse rate of 39 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 39 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between - 2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 39 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.)
A population of N = 5 scores has a mean of µ = 8. If one score with a value of X = 4 is removed from the population, what is the value for the new mean? What is the mode for the population of scores shown in the frequency distribution table? X f 5 3 4 4 3 3 2 3 1 2 After every score in a sample of n = 5 is multiplied by 2, the mean is calculated and found to be M = 8. What was the mean of the original sample?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s= 14.2 beats per minute. a. What is the difference between the pulse rate of 35 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 35 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 35 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations, (Round to two decimal places as needed.) c. The z score is z=. (Round to two decimal places as needed.) d. The lowest pulse rate is
The daily exchange rate of one dollar in euros during the first three months of 2007 can be inferred to have the following distribution.3 x P(x) 0.73 0.05 0.74 0.10 0.75 0.25 0.76 0.40 0.77 0.15 0.78 0.05 For problem 3–10, find the mean and the standard deviation of the dollar to euros exchange rate.
Problem 3 Jim is preparing pancakes for breakfast. The recipe calls for 1 cup of flour and 4 cup of milk. He is cooking for a family, which requires him to quadruple the recipe. The mean amount of flour he puts into the batter is 1 cup per multiple with a standard deviation of 1/16 cup. The mean amount of milk he puts into the recipe per multiple is ¾ cup with a standard deviation of 1/8 cup. Each multiple is independent and normally distributed for each ingredient. i. What are the mean and standard deviation of the total amount of milk and flour in Jim's quadrupled pancake recipe? What is the chance he ends up with more than 15/2 cups of milk and flour together in his batter? ii.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 38 beats per minute, the mean of the listed pulse rates is x=79.0 beats per minute, and their standard deviation is s=22.1 beats per minute. a. What is the difference between the pulse rate of 38 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 38 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 38 beats per minute significant?
A queueing system has an arrival rate of 37 visitors per day (standard deviation of 32) and a service rate of 42 visitors per day (standard deviation of 25). (Round your answer to three decimal places.) What is the coefficient of variation of the arrival rate?
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 %.
Example 4: The average cholesterol level for a random sample of 25 adult women is 263 units with a standard deviation of 43 units. From previous study, it is known that the population is normally distributed with a standard deviation of 40 units. Find a 90% C.I for the mean cholesterol level for all adult women in the population.
Problem 26. Boxes of Instant Dinner have a marked weight of 12.2 oz. In reality, the weights of the boxes are normally distributed with a mean of 12.8 oz and a standard deviation of 0.3 oz. Use the 68-95-99.7 Rule to determine the percent of the boxes that contain more than 12.2 oz.
Problem 2.2: Mean and standard deviation of 25 items is found to be 15 and 2. But later or it was discovered that one item was taken as 20 instead of 30. Find the correct mean and correct standard deviation.

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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.