The time between arrivals of taxis is exponentially distributed with a mean of 10 minutes. a)...
The time between arrivals of taxis is exponentially distributed with a mean of 10 minutes.
a) You are fourth in line looking for a taxi. What is the probability that exactly 3 taxis arrive within one hour?
b) Suppose the other three parties just decided to take the subway and you are now the first in line for the next taxi. Determine the time t such that the probability you wait less than t minutes from now until the next taxi arrives is 0.90.
c) Suppose that since you became the first in line, you should have been waiting one hour for the next taxi. What is the probability that a taxi arrives in the next 10 minutes. Justify your answer with words.
Homework Answers
Add Answer to:
The time between arrivals of taxis is exponentially distributed
with a mean of 10 minutes.
a)...
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean...
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (ii) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes? (iii) Determine x such that the probability that you wait more than x minutes is 0.10. (iv) Determine x such that the probability that you wait less than x minutes is 0.90.
Q2. Assume that the number of taxis that arrive at a busy intersection follows a Poisson...
Q2. Assume that the number of taxis that arrive at a busy intersection follows a Poisson distribution with a mean of 6 taxis per hour. Let X denote the time between arrivals of taxis at the intersection. (a) What is the mean of X? (b) What is the probability that you wait longer than one hour for a taxi? (c) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives...
The inter arrival time between bus arrivals is exponentially distributed with an average time of 14minutes....
The inter arrival time between bus arrivals is exponentially distributed with an average time of 14minutes. Suppose that you have already been waiting at the bus stop for 3 minutes. Find the probability that the bus will arrive within the next 4minutes.
1. Suppose that the time between arrivals of insect pollinators to a flowering plant is exponentially...
1. Suppose that the time between arrivals of insect pollinators to a flowering plant is exponentially distributed with parameter = 0.3hr • Find the mean and standard deviation of the waiting time between suc- cessive pollinator arrivals . If a pollinator just left the plant, what is the probability that you will have to wait for more than three hours before the next pollinator arrives? 2019:4 Fall, MATH5680:001 Intro to Theory of Probability
10. The times between train arrivals at a certain train station is exponentially distributed with a...
10. The times between train arrivals at a certain train station is exponentially distributed with a mean of 10 minutes. I arrived at the station while Dayer was already waiting for the train. If Dayer had already spent 8 minutes before I arrived, determine the following a. b. c· The average length of time I will wait until the next train arrives The probability that I will wait more than 5 minutes until the next train arrives The probability that...
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes....
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes. a. What is the probability that exactly four buses arrive during the next 2 hours? b. What is the probability that no buses arrive during the next two hours? c. What is the probability that at least 2 buses arrive during the next 2 hours? d. A bus has just arrived. What is the probability that the next bus arrives in the next 30-90...
Suppose that the amount of service(ordering a coffee and getting it done) time at a KU driving- through coffee shop is exponentially distributed with an expected value of 10 minutes. You arrive at th...
Suppose that the amount of service(ordering a coffee and getting it done) time at a KU driving- through coffee shop is exponentially distributed with an expected value of 10 minutes. You arrive at the driving-through line while one customer is being served and one other customer is waiting in the line. The staff of the coffee shop informs you that the customer has already ordered a Cafe Latte and waited for 5 minutes. What is the probability that the customer...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean 60 seconds. (a) What is the probability that exactly 4 calls arrive in the next 2 minutes? (6) What is the probability that at least 2 calls arrive in the next 2 minutes? (c) What is the probability that no buses arrive in the next 2 minutes? (d) Given that a call has just arrived, what is the probability that the next call arrives...
8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF...
8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF fr(t) = te-t/5 for t > 0. Given that you have just waited 4 minutes since the last request for treats, your expected wait until the next request in minutes) is:
Consider a simple queuing system in which customers arrive randomly such that the time between successive...
Consider a simple queuing system in which customers arrive randomly such that the time between successive arrivals is exponentially distributed with a rate parameter l = 2.8 per minute. The service time, that is the time it takes to serve each customer is also Exponentially distributed with a rate parameter m = 3 per minute. Create a Matlab simulation to model the above queuing system by randomly sampling time between arrivals and service times from the Exponential Distribution. If a...
Q2. Assume that the number of taxis that arrive at a busy intersection follows a Poisson distribution with a mean of 6 taxis per hour. Let X denote the time between arrivals of taxis at the intersection. (a) What is the mean of X? (b) What is the probability that you wait longer than one hour for a taxi? (c) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives...
1. Suppose that the time between arrivals of insect pollinators to a flowering plant is exponentially distributed with parameter = 0.3hr • Find the mean and standard deviation of the waiting time between suc- cessive pollinator arrivals . If a pollinator just left the plant, what is the probability that you will have to wait for more than three hours before the next pollinator arrives? 2019:4 Fall, MATH5680:001 Intro to Theory of Probability
10. The times between train arrivals at a certain train station is exponentially distributed with a mean of 10 minutes. I arrived at the station while Dayer was already waiting for the train. If Dayer had already spent 8 minutes before I arrived, determine the following a. b. c· The average length of time I will wait until the next train arrives The probability that I will wait more than 5 minutes until the next train arrives The probability that...
The time between arrivals of buses follows an exponential distribution with a mean of 60 minutes. a. What is the probability that exactly four buses arrive during the next 2 hours? b. What is the probability that no buses arrive during the next two hours? c. What is the probability that at least 2 buses arrive during the next 2 hours? d. A bus has just arrived. What is the probability that the next bus arrives in the next 30-90...
Suppose that the amount of service(ordering a coffee and getting it done) time at a KU driving- through coffee shop is exponentially distributed with an expected value of 10 minutes. You arrive at the driving-through line while one customer is being served and one other customer is waiting in the line. The staff of the coffee shop informs you that the customer has already ordered a Cafe Latte and waited for 5 minutes. What is the probability that the customer...
Exercise 2.3 The time between phone calls to a call center is exponentially distributed with mean 60 seconds. (a) What is the probability that exactly 4 calls arrive in the next 2 minutes? (6) What is the probability that at least 2 calls arrive in the next 2 minutes? (c) What is the probability that no buses arrive in the next 2 minutes? (d) Given that a call has just arrived, what is the probability that the next call arrives...
8. On Halloween, the waiting time between trick-or-treaters, T (in minutes) is exponentially distributed with PDF fr(t) = te-t/5 for t > 0. Given that you have just waited 4 minutes since the last request for treats, your expected wait until the next request in minutes) is:
Most questions answered within 3 hours.
-
A 10.000 g sample of water contains 11.19% H by mass. what
should be the %H...
asked 3 minutes ago -
Consider an investment game among 2 players. Each player can
either invest,
i, or not invest,-i....
asked 1 minute ago -
The time taken to complete a particular task is normally
distributed with a standard deviation of...
asked 11 minutes ago -
we have heteroskedasticity in a regression when:
When the variance of error terms changes when an...
asked 20 minutes ago -
Explain some different types of fungi. State the different
divisions undergo by fungi.
asked 33 minutes ago -
The shortest time that 120 C can flow through a 20 A circuit
breaker without tripping...
asked 34 minutes ago -
A software design pattern is a general, reusable solution to a
commonly occurring problem, acting as...
asked 36 minutes ago -
The mean waiting time at the drive-through of a fast-food
restaurant from the time an order...
asked 53 minutes ago -
The pitch (p) of a helix is defined as p = dn, in which n is...
asked 55 minutes ago -
Do you agree that the declining stock of social capital is the
blame for the failure...
asked 58 minutes ago -
A researcher is interested in whether coffee consumption helps
with performance on reading comprehension tasks. The...
asked 1 hour ago -
it has been estimated since the beginning of the human race that
about 133 metric ton...
asked 1 hour ago