Homework Answers
As of formula,
Mean waiting time = n/rate
where, n is observation of success (i.e., n=10)
rate is given as 2*10-4 per day
So, Mean waiting time=10/(2*10-4)
=50000 days
Therefore answer is 50000 days
Add Answer to:
dependent! 2) Suppose that {Xt}t is a Poisson process with rate r = 2 x 10-4...
Let N(t), t 2 0} be a Poisson process with rate X. Suppose that, for a...
Let N(t), t 2 0} be a Poisson process with rate X. Suppose that, for a fixed t > 0, N (t) Please show that, for 0 < u < t, the number of events that have occurred at or prior to u is binomial with parameters (n, u/t). That is, n. That is, we are given that n events have occurred by time t C) EY'C)" n-i u P(N(u) iN (t)= n) - for 0in
Let N(t), t 2...
4. Arrivals of passengers at a bus stop form a Poisson process X(t) with rate ?...
4. Arrivals of passengers at a bus stop form a Poisson process X(t) with rate ? = 2 per unit time. Assume that a bus departed at timet 0 leaving no customers behind. Let T denote the arrival time of the next bus. Then, the number of passengers present when it arrives is X(T) Suppose that the bus arrival time T is independent of the Poisson process and that T has the uniform probability density function 1,for 0t1, 0 ,elsewhere...
Earthquakes occur in the United States according to a Poisson process at a constant rate of...
Earthquakes occur in the United States according to a Poisson process at a constant rate of 0.05 earthquakes per day. Suppose we begin observing earthquakes at some point in time. On average how long will it be (in days) between the 6th and 7th earthquakes? Answer to the nearest integer.
Suppose that visits to a website can be modeled by a Poisson process with a rate λ=10 per hour (a...
suppose that visits to a website can be modeled by a Poisson
process with a rate λ=10 per hour
(a) What is the probability that there are more than or equal to
2 visits within a given 1/2 hour interval
(b) A supervisor starts to monitor the website from the start of
a new shift. then what is the expected value of time waited by the
supervisor until the 10th visit to the website during that
shift?
Suppose that visits...
Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers...
Customers arrive at a bank according to a Poisson process having a rate of 2.42 customers per hour. Suppose we begin observing the bank at some point in time. What is the probability that 3 customers arrive in the first 1.8 hours? Customers arrive at a bank according to a Poisson process having a rate of 2.3 customers per hour. Suppose we begin observing the bank at some point in time. What is the expected value of the number of...
1. Let {Xt;t >0} be a pure birth process with rate 1x > 0, for x...
1. Let {Xt;t >0} be a pure birth process with rate 1x > 0, for x € S = {0,1,2,...}. (a) Write the backward equations (KBE) and use it to solve for Prz(t). (b) Use the result to part (a) to show that the waiting time in state x, say Wx, is exponentially distributed (c) Suppose 1x = 1 is constant for all x E S. Prove by induction that Px-kx(t) = (at) ke Af/k! for k = 0,..., and...
Problem 1 A Poisson process is a continuous-time discrete-valued random process, X(t), that counts the number of events...
Problem 1 A Poisson process is a continuous-time discrete-valued random process, X(t), that counts the number of events (think of incoming phone calls, customers entering a bank, car accidents, etc.) that occur up to and including time t where the occurrence times of these events satisfy the following three conditions Events only occur after time 0, i.e., X(t)0 for t0 If N (1, 2], where 0< t t2, denotes the number of events that occur in the time interval (t1,...
Really need helps! Thanks! 2. Customers arrive to a coffee cart according to a Poisson process...
Really need helps! Thanks!
2. Customers arrive to a coffee cart according to a Poisson process with constant rate 12 per hour. Each customer is served by a single server and this takes an exponentially-distributed amount of time with mean 2 minutes irrespective of ev- erything else. When the coffee cart opens for service, there are already 7 people waiting. Denote by X = (X+,t> 0) the number of people waiting or in service at the coffee cart t hours...
4. Given a Poisson process X(t), t > 0, of rate λ > 0, let us fix a time, say t-2, and let us con...
4. Given a Poisson process X(t), t > 0, of rate λ > 0, let us fix a time, say t-2, and let us consider the first point of X to occur after time 2. Call this time W, so that W mint 2 X() X(2) Show that the random variable W - 2 has the exponential distribution with parameter A. Hint: Begin by computing PrW -2>] for
4. Given a Poisson process X(t), t > 0, of rate λ...
Packets arrive according to a Poisson process with rate λ. For each arriving packet, with probability...
Packets arrive according to a Poisson process with rate λ. For each arriving packet, with probability p the packet is “flagged”. Assume that each packet is flagged independently. Suppose that you start observing the packet arrival process at time t. Let Y denote the length of time until you see TWO flagged packets. 1.Derive the distribution of Y . 2.Find the mean of Y .
Let N(t), t 2 0} be a Poisson process with rate X. Suppose that, for a fixed t > 0, N (t) Please show that, for 0 < u < t, the number of events that have occurred at or prior to u is binomial with parameters (n, u/t). That is, n. That is, we are given that n events have occurred by time t C) EY'C)" n-i u P(N(u) iN (t)= n) - for 0in
Let N(t), t 2...
4. Arrivals of passengers at a bus stop form a Poisson process X(t) with rate ? = 2 per unit time. Assume that a bus departed at timet 0 leaving no customers behind. Let T denote the arrival time of the next bus. Then, the number of passengers present when it arrives is X(T) Suppose that the bus arrival time T is independent of the Poisson process and that T has the uniform probability density function 1,for 0t1, 0 ,elsewhere...
Earthquakes occur in the United States according to a Poisson process at a constant rate of 0.05 earthquakes per day. Suppose we begin observing earthquakes at some point in time. On average how long will it be (in days) between the 6th and 7th earthquakes? Answer to the nearest integer.
suppose that visits to a website can be modeled by a Poisson
process with a rate λ=10 per hour
(a) What is the probability that there are more than or equal to
2 visits within a given 1/2 hour interval
(b) A supervisor starts to monitor the website from the start of
a new shift. then what is the expected value of time waited by the
supervisor until the 10th visit to the website during that
shift?
Suppose that visits...
1. Let {Xt;t >0} be a pure birth process with rate 1x > 0, for x € S = {0,1,2,...}. (a) Write the backward equations (KBE) and use it to solve for Prz(t). (b) Use the result to part (a) to show that the waiting time in state x, say Wx, is exponentially distributed (c) Suppose 1x = 1 is constant for all x E S. Prove by induction that Px-kx(t) = (at) ke Af/k! for k = 0,..., and...
Problem 1 A Poisson process is a continuous-time discrete-valued random process, X(t), that counts the number of events (think of incoming phone calls, customers entering a bank, car accidents, etc.) that occur up to and including time t where the occurrence times of these events satisfy the following three conditions Events only occur after time 0, i.e., X(t)0 for t0 If N (1, 2], where 0< t t2, denotes the number of events that occur in the time interval (t1,...
Really need helps! Thanks!
2. Customers arrive to a coffee cart according to a Poisson process with constant rate 12 per hour. Each customer is served by a single server and this takes an exponentially-distributed amount of time with mean 2 minutes irrespective of ev- erything else. When the coffee cart opens for service, there are already 7 people waiting. Denote by X = (X+,t> 0) the number of people waiting or in service at the coffee cart t hours...
4. Given a Poisson process X(t), t > 0, of rate λ > 0, let us fix a time, say t-2, and let us consider the first point of X to occur after time 2. Call this time W, so that W mint 2 X() X(2) Show that the random variable W - 2 has the exponential distribution with parameter A. Hint: Begin by computing PrW -2>] for
4. Given a Poisson process X(t), t > 0, of rate λ...
Most questions answered within 3 hours.
-
Two point charges of 7.0mL are initially 11.5m apart. What is
the change in potential energy...
asked 59 seconds ago -
It is possible to iterate through an array quickly and easily
using a loop?
asked 4 minutes ago -
Please write as a short answer
You have heartburn and a two hour working session on...
asked 5 minutes ago -
Please solve with excel and mention the excel function.
Thanks
Kevin deposits $10,000 in a savings...
asked 6 minutes ago -
Which Special Journal would the following transaction be
journalized in?
Sold merchandise on account to Customer...
asked 19 minutes ago -
Assuming 100% dissociation, calculate the freezing point (?fTf)
and boiling point (?bTb) of 1.45 ? K3PO4(aq)1.45...
asked 21 minutes ago -
An inflated helium balloon with a volume of 0.35L at
sea level (1.0 atm) was allowed...
asked 23 minutes ago -
Python 3.0 Please
Write a function that takes, as arguments, a binary string, a
list of...
asked 51 minutes ago -
(a) Calculate the momentum of a 2150 kg elephant charging a
hunter at a speed of...
asked 38 minutes ago -
all the following is an example of a fixed cost except: any cost
that changes in...
asked 40 minutes ago -
Briefly describe the changes in pupil diameter that occur with
changes in light intensity or distance...
asked 40 minutes ago -
A small sample from a vial of phenol melts at 39-40 °C. A larger
sample from...
asked 43 minutes ago