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Assuming that average number of packers arriving at a switch are 30000 with variance of 30000,...
4-9 The following probability distribution table has been obtained for the number of persons arriving at...
4-9 The following probability distribution table has been obtained for the number of persons arriving at Original Joe's during any specified minute be- tween 8 and 9 P.M. Persons Probability WN - o Calculate the expected value and the variance for the number of persons arriving between 8:30 and 8:31 P.M.
Assume the average number of cars arriving at a certain freeway entrance ramp during an hour...
Assume the average number of cars arriving at a certain freeway entrance ramp during an hour is 5. What is the probability that in a given hour no cars will arrive at the ramp? a. What is the probability that exactly 5 cars will arrive in an hour. b. What is the probability that more than 5 cars will arrive in an hour?
Assume that the number of telephone calls arriving at a switchboard by time t (minutes) is...
Assume that the number of telephone calls arriving at a switchboard by time t (minutes) is described by Poison process {N(t)}. On average, one call comes in every 10 minutes. What is the probability that two or more calls will occur in 10 < t ≤ 20?
3. Suppose we are interested to study the number of customers arriving at a bank in...
3. Suppose we are interested to study the number of customers arriving at a bank in a random work day. Previously we learned that the average number of customers per day is 100. (a) Define a random variable X for the number of customers arriving in a random work day. (b) Find the probability mass function. (c) Computer the probability that there will be at least 75 customers arriving at a random work day. (d)Derive the expected value (mean) of...
2. The time intervals between successive packets arriving at a network router interface is expo nentially...
2. The time intervals between successive packets arriving at a network router interface is expo nentially distributed with a mean of 10ms. There are hundreds of different types of packets, however the two dominant types are TCP and UDP. Studies show that approximately 20% of traffic is UDP and 80% of traffic is TCP. Find the probability that the time interval between two successive packets (of either type) is less than 2ms Find a time interval t such that we...
The average number of cars per hour arriving at a toll booth is 57 while the...
The average number of cars per hour arriving at a toll booth is 57 while the standard deviation is 15. (a) Use Markov’s inequality to find an upper bound on the probability of having more than 200 cars arrive in an hour. (b) Use Chebyshev’s inequality to find an upper bound on the probability of having more than 200 cars arrive in an hour
The number of phone calls arriving at a switchboard can be represented by a Poisson random...
The number of phone calls arriving at a switchboard can be represented by a Poisson random variable. The average number of phone calls per hour is 1.7. (a) Find the probability of getting a total of at least 3 phone calls in the next hour. (b) Find the probability of getting a total of at least 3 phone calls in the next two hours. (c) Find the probability that it is more than 30 minutes until the next call arrives....
8.186 The number N(t) of phone calls arriving at a switchboard during the first t minutes...
8.186 The number N(t) of phone calls arriving at a switchboard during the first t minutes time that elapses between when you start your stopwatch and when the nth phone call arrives. after you start your stopwatch has a Poisson distribution with parameter 3.8t. Let W be the a) On average, how many phone calls arrive during the first t minutes? b) If it is known that Wi > t, what can be said about N(t)? Similarly, what would Wit...
The average number of customers arriving at a drive-through window of a bank branch is 39...
The average number of customers arriving at a drive-through window of a bank branch is 39 per hour during lunch hours. Use X to denote the number of arrivals in a 5 minute time interval. Assume the customers arrive independently and the number of arrivals within each 5 minutes follows a Poisson distribution. Keep at least 4 decimal digits if the result has more decimal digits. I AM JUST LOOKING FOR WHAT FUNCTION/EQUATION TO PUT INTO MY CALCULATOR TO GET...
Exo 4: It has been observed that the number of clients arriving in the emergency room...
Exo 4: It has been observed that the number of clients arriving in the emergency room at BONSOIN hospital follows a Poisson law with an average of 12 clients per hour. a) What is the probability that exactly 10 customers will arrive in the next hour? b) What is the probability that exactly one customer will arrive in the next 15 minutes? (c) What is the probability that he arrived at least one client in the next step?
4-9 The following probability distribution table has been obtained for the number of persons arriving at Original Joe's during any specified minute be- tween 8 and 9 P.M. Persons Probability WN - o Calculate the expected value and the variance for the number of persons arriving between 8:30 and 8:31 P.M.
3. Suppose we are interested to study the number of customers arriving at a bank in a random work day. Previously we learned that the average number of customers per day is 100. (a) Define a random variable X for the number of customers arriving in a random work day. (b) Find the probability mass function. (c) Computer the probability that there will be at least 75 customers arriving at a random work day. (d)Derive the expected value (mean) of...
2. The time intervals between successive packets arriving at a network router interface is expo nentially distributed with a mean of 10ms. There are hundreds of different types of packets, however the two dominant types are TCP and UDP. Studies show that approximately 20% of traffic is UDP and 80% of traffic is TCP. Find the probability that the time interval between two successive packets (of either type) is less than 2ms Find a time interval t such that we...
8.186 The number N(t) of phone calls arriving at a switchboard during the first t minutes time that elapses between when you start your stopwatch and when the nth phone call arrives. after you start your stopwatch has a Poisson distribution with parameter 3.8t. Let W be the a) On average, how many phone calls arrive during the first t minutes? b) If it is known that Wi > t, what can be said about N(t)? Similarly, what would Wit...
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