3. The number X of telephone calls received each minute at a certain switchboard in themiddle of a working day is thought to have a Poisson distribution. Data were collected,and the results were as follows:01 2 3Frequency 50 62 26 12(a) Find Â, the sample average for your dataset. Round your final answer to 3 decimals.x1(b) Find the probability of each z value (to 3 decimals) using the Poisson Distribution.Use your probabilities to determine the expected frequencies.(c) Perform a test to determine if the data follows a Poisson distribution. What con-clusion do you reach (is it reasonable that the data follow a Poisson distribution ornot)?

The observed frequency distribution of the number of telephone calls is given as…

Answered: 3. The number X of telephone calls…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To build a 95% CI for the mean of a population, you take a random sample and find these values: 18.4 19.8 17 18.6 23 21.7 18.9 14.3 17.6 21.2 21.4 23.4 20 20.7 15.2 21.9 21 What is the CI? Enter like this: (min,max) Be sure to use the parentheses or you will be marked wrong. Keep at least 3 decimals in all intermediate steps, and round your answer to two decimals. Submit Question
Suppose that speed at which cars go on the freeway is normally with 71 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places were possible.
Subpart A,B,C
About 23% of a population are of a particular ethnic group.240 people are randomly selected from this population.Round all answers to 3 decimal places.Convert the percentage of the population to a decimal:p: Compute the mean and standard of this size sample of this binomial distribution:Mean: Standard deviation:
Subpart D,E,F
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 59. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 14, find the probability that the average number of friends is more than 94. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No Submit Question logi F2 F5 3 R. T. *CO 8 7 6
The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) below. Assume the population is normally distributed. (a) Find the sample mean. x=(Round to two decimal places as needed.) Clear all 2.3 3.1 2.9 1.6 0.9 4.0 2.4 1.3 3.6 0.1 2.4 3.3 E € 413 PM
Using the data attached, compute x-bar: 1. Define the random variable x-bar in words 2. state the estimated distribution to use. Use both words and symbols.
The average production cost for major movies is 58 million dollars and the standard deviation is 22 million dollars. Assume the production cost distribution is normal. Suppose that 43 randomly selected major movies are researched. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N b. What is the distribution of ? - N( c. For a single randomly selected movie, find the probability that this movie's production cost is between 53 and 58 million dollars. d. For the group of 43 movies, find the probability that the average production cost is between 53 and 58 million dollars. e. For part d), is the assumption of normal necessary? O No Yes Question Help: E Written Example MMessage instructor Submit Question Jump to Answer
Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 67 b. If one car is randomly chosen, find the probability that it is traveling more than 64 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. d. 83% of all cars travel at least how fast on the freeway? mph. Add Work Check Answer
answer d)
K The following data represent the number of drivers involved in a fatal crash in 2016 in various light and weather conditions. Complete parts (a) through (c) below. Click the icon to view the data for fatal crashes in 2016. (a) Among fatal crashes in unknown weather conditions, what is the probability that a randomly selected fatal crash occurs when it is dawn/dusk? The probability that a randomly selected fatal crash in unknown weather conditions occurs when it is dawn/dusk is approximately. (Round to three decimal places as needed.) Data table Weather Daylight Dark, but Lighted 5875 497 51 54 255 Normal Rain Snow/Sleet Other Unknown 14,307 875 219 125 810 (...) Dark 8151 681 156 220 548 Dawn/Dusk Other 1183 87 40 71 65 8 2 9 133 X

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