b. In a cellular network, the total number of channels per cell is seven, among whichtwo are reserved exclusively for handoff calls. Assume that both new and handoffcall arrivals follow a Poisson process. The mean arrival rate of new calls andhandoff calls are 1.5 calls/minute and 0.3 calls/minute, respectively. The channelholding time is exponentially distributed, with mean equal to 2 minutes. Calculatethe blocking probabilities of new calls and handoff calls.

To calculate the blocking probabilities of new and handoff calls, we need to use the Erlang-B…

Answered: b. In a cellular network, the total…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider that we are interested in computing the time weighted average number of cars parked in the parking garage on a Sunday in December. We start at midnight and collect the entry and exit times of cars in the garage until the following midnight as follows. Entry 12:45:00 AM Entry 1:00:00 AM Entry 3:30:00 AM Exit 5:15:00 AM Entry 7:00:00 AM Entry 8:15:00 AM Exit 8:45:00 AM Entry 10:00:00 AM Exit 10:30:00 AM Entry 2:30:00 PM Exit 4:15:00 PM Entry 6:00:00 PM Exit 7:45:00 PM Entry 9:30:00 PM Exit 11:15:00 PM What was the time weight average number of cars parked in the parking garage on that Sunday?
A company buys a policy to insure its revenue in the event of major snowstorms that shut down business. The policy pays nothing for the first such snowstorm of the year and $9300 for each one thereafter, until the end of the year. The number of major snowstorms per year that shut down business has a Poisson distribution with mean 2.8. Find the expected amount paid to the company under this policy during a one-year period.
In a survey, it was found that 72%of the population of a certain urban area lived in single-family dwellings and 28% in multiple housing. One year later, of those who had been living in single-family dwellings, 89%still did so, but 11% had moved to multiple-family dwellings. Of those in multiple housing, 94%were still living in that type of housing, while 6%had moved to single-family housing. Assume that these trends continue. (a) Write a transition matrix using this information. Set it up so that the first row and first column represent single-family dwellings and the second row and second column represent multiple housing.
Data from the Bureau of Labor Statistics indicates that in a certain month, 35.7% of the labor force had a high school diploma or fewer years of education, 29.4% had some college or an associate's degree, and 34.9% had a bachelor's degree or more education. Of those with a high school diploma or fewer years of education, 5.5% were unemployed. Of those with some college or an associate's degree, 4.4% were unemployed, and of those with a bachelor's degree or more education, 2.4% were unemployed. Find the probability that a randomly chosen labor force participant has some college or an associate's degree given that he or she is unemployed. 12 The probability is 0 (Type an integer or decimal rounded to three decimal places as needed.)
can you find two tailed test p value for given data sample size 14 test statistics -2.23
A market investigator returns the following data of 10000 people consulted : 8110 liked chocolates, 7520 liked toffee, 4180 liked boiled sweets, 5700 liked chocolates and toffee, 3300 liked chocolates and boiled sweets, 3480 liked toflee and boiled sweets, and 2970 liked all the three. Show that this information as it stands must be incorrect.
A particular cookie company has a double-feature box of cookies. These boxes come with two types of cookies; oatmeal raisin and chocolate-chip. However, the proportion of cookies of each type varies. A data analyst working for the company wonders if there is a tendency for the boxes to have more of one type of cookie than the other. In order to investigate, he selects 72 boxes of the double-feature oatmeal raisin/choc-chip cookies and counts the number of each type of cookie. He finds out that, in his sample of 72 boxes, the proportion of chocolate chip cookies is 0.22. What is the standard deviation of the sampling proportion for the proportion of chocolate chip cookies? Note: 1- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places. 2-If standard deviation cannot be calculated, standard error is created in its place. Your Answer: Answer
(5) A certain educational institute has 15 centers located at different places in a city. There are three telephone operators in each center. The manager wanted to estimate the average number of calls received per telephone per week for this institute. He decided to select four centers and the number of calls received on last week for each operator were recorded. The data collected are given in Table 02. Answer the following questions. Table 02: Number of calls received for each operator 25, 15, 30 18, 12, 10 20, 18, 22 15, 20, 18 Center 1 4 (i) (ii) What is the sampling method used in this study? Justify your answer. Estimate the average number of telephone calls received per telephone operator.
An online instructor wants to estimate the mean amount of time that students spend in the online homework system on a particular homework assignment. The instructor takes a random sample of 30 students and looks up the amount of time recorded by the system for that assignment.
Select the single best answer: An investigator is interested in the cigarette use of workers in factory. She asks all the workers who come into the site if they use cigarettes and determines that 20% of the subjects smoke. She then asks every third smoker who comes to the site how many cigarettes they smoke each day; she finds that the mean number of cigarettes smoked is 16. She plots the number of cigarettes smoked by each worker on a frequency distribution and finds that it is normally distributed. She also finds that the number of male smokers is equal to the number of female smokers. She already knows that half of her subjects are men, and half are women. A particular worker, Mr. X, smokes 24 cigarettes a day. What is the corresponding deviation score? A. 40 B. +8 C. 0 D. -8 E. 24
The table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006. Mammal Gestation, y(days) Longevity, x(years) Mammal Gestation, y(days) Longevity, x(years) Baboon 187 20 Camel 406 12 Bear, black 219 18 Cat 63 12 Bear, grizzly 225 25 Chimpanzee 230 20 Bear, polar 240 20 Chipmunk 31 6 Beaver 105 5 Cow 284 15 Buffalo 285 15 Deer 201 8 Dog 61 12 Monkey 164 15 Donkey 365 12 Moose 240 12 Elephant 645 40 Mouse 21 3 Elk 250 15 Opossum 13 1 Fox 52 7 Pig 112 10 Giraffe 457 10 Puma 90 12 Goat 151 8 Rabbit 31 5 Gorilla 258 20 Rhinoceros 450 15 Guinea pig 48 4 Sea lion 350 12 Hippopotamus 238 41 Sheep 154 12 Horse 330 20 Squirrel 44 10 Kangaroo…
A car insurance company has determined that 9% of all drivers were involved in a car accident last year. Among the 10 drivers living on one particular street, 3 were involved in a car accident last year. If 10 drivers are randomly selected, what is the probability of getting 3 or more who were involved in a car accident last year? O a. O b. O C. O d. 0.4435 0.9548 0.0541 0.0452

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