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4 (5 points) The average number of text messages is arrived at a rate of 2...
8. Your friend sends you text messages at an average rate of 3 per mimite; the...
8. Your friend sends you text messages at an average rate of 3 per mimite; the Poisson distribution is a in the next two minutes? (That is. the second text message more than two minutes after the good model. (a) What is the probability that she sends you no text messages between t-0 and t 2.) (b) What is the probability that she sends (c) What is the probability that first? the fourth text message arrives within 30 seconds of...
Messages arrive at an electronic mail server at the average rate of 4 messages every 5...
Messages arrive at an electronic mail server at the average rate of 4 messages every 5 minutes. Their number is modeled by a Binomial counting process. (a) What frame length makes the probability of a new message arrival during a given frame equal 0.05? (b) Suppose that 50 messages arrived during some 1-hour period. Does this indicate that the arrival rate is on the increase? Use frames computed in (a).
10.9 12.6 14.3 16 Question 8 1 pts The number of points on a particular test are normally distributed. The average number of points is 16: the standard deviation is 1.7 points. Use the empir...
10.9 12.6 14.3 16 Question 8 1 pts The number of points on a particular test are normally distributed. The average number of points is 16: the standard deviation is 1.7 points. Use the empirical rule estimate the probability of the points being less than 12.6. Question4 For a school project, two students Shona and Miguel, recorded the number of text messages each of them sent each day for a 60-day period The box plots summarize the data Shona Miguel...
Messages arive to a computer server according to a Poisson distribution with a mean value 12...
Messages arive to a computer server according to a Poisson distribution with a mean value 12 per hour. Ten of them are I page long, and two are more than 1. OMessages arrive to a computer server according to a Poisson distribution with a What is the probability that 5 short messages are received in 2 hour? b) What is the probability that at least 4 long messages are received in 3hours? 2p c)Determine the length of an interval such...
1. Suppose you get on average 60 text messages per day between 8am and 8pm. Compute the...
1. Suppose you get on average 60 text messages per day between 8am and 8pm. Compute the probability that in a particular hour between 8am and 8pm, you will get exactly 10 text messages. Give your answer to five decimal places with a leading zero. Note: ON AVERAGE you get 60 text messages between 8am and 8pm...on average, how many text messages would you expect in one hour?? 2. Suppose you get on average 60 text messages per day between 8am...
Calls received by a car rescue service occur independently and at a constant average rate of...
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
+ 10 The average number of text messages sent and received each day by people of...
+ 10 The average number of text messages sent and received each day by people of selected ages is shown in the table below. T + Х X1 Vi 20 110 30 42 40 26 50 14 60 10 70 0 5 10 14 3 x Find a cubic polynomial function I) that models these data, where & the age. The basic form would (x1)* + b(x1)2 + cx1 + d for the + 10 + 3 X c Find...
4. The emergency telephone (911) center in a large city receives an average of 210 calls...
4. The emergency telephone (911) center in a large city receives an average of 210 calls per hour during a typical day. On average, each call requires about 121 seconds fora dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 7 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
During lunchtime at a certain fast food restaurant, customers arrive at an average rate of 7...
During lunchtime at a certain fast food restaurant, customers arrive at an average rate of 7 customers every 5 minutes. assume a poisson distribution to find the probability that: A) exactly 12 customers arrive in a given 10 minute interval (perform this calculation using an appropriate formula, showing the setup.) b) between 5 and 10 customers (inclusive) arrive in a given 5 minute interval (show how you can answer this from the table) c) after a customer arrives, find the...
A Geiger counter counts the number of alpha particles from radioactive material. Over a long period...
A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 5 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Round your answers to 3 decimals. a. Find the probability that no particle arrives in a particular one minute period. b. Find the probability that at least one particle arrive in a particular one minute period.
8. Your friend sends you text messages at an average rate of 3 per mimite; the Poisson distribution is a in the next two minutes? (That is. the second text message more than two minutes after the good model. (a) What is the probability that she sends you no text messages between t-0 and t 2.) (b) What is the probability that she sends (c) What is the probability that first? the fourth text message arrives within 30 seconds of...
10.9 12.6 14.3 16 Question 8 1 pts The number of points on a particular test are normally distributed. The average number of points is 16: the standard deviation is 1.7 points. Use the empirical rule estimate the probability of the points being less than 12.6. Question4 For a school project, two students Shona and Miguel, recorded the number of text messages each of them sent each day for a 60-day period The box plots summarize the data Shona Miguel...
Messages arive to a computer server according to a Poisson distribution with a mean value 12 per hour. Ten of them are I page long, and two are more than 1. OMessages arrive to a computer server according to a Poisson distribution with a What is the probability that 5 short messages are received in 2 hour? b) What is the probability that at least 4 long messages are received in 3hours? 2p c)Determine the length of an interval such...
Calls received by a car rescue service occur independently and at a constant average rate of 3 per minute. a. Find the probability that, in a randomly chosen period of 1 minute, the number of calls received by the service is (I) none (II) at least3 (IIID between 2 and 5 (inclusive) b. Find the probability that, in a randomly chosen period of 4 minute, the number of calls received by the service is exactly 14. Find the probability that,...
+ 10 The average number of text messages sent and received each day by people of selected ages is shown in the table below. T + Х X1 Vi 20 110 30 42 40 26 50 14 60 10 70 0 5 10 14 3 x Find a cubic polynomial function I) that models these data, where & the age. The basic form would (x1)* + b(x1)2 + cx1 + d for the + 10 + 3 X c Find...
4. The emergency telephone (911) center in a large city receives an average of 210 calls per hour during a typical day. On average, each call requires about 121 seconds fora dispatcher to receive the emergency call, determine the nature and location of the problem, and send the required individuals (police, firefighters, or ambulance) to the scene. The center is currently staffed by 7 dispatchers a shift but must have an adequate number of dispatchers on duty and it has...
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