The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M.
The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M.
(a) Find the probability density function for the random variable t. (Let t-0 represent 10:00 A.M.)
(b) Find the mean and standard deviation of the the arrival times. (Round your standard deviation to three decimal places.)
(с) what is the probability that you will miss the bus if you amve at the bus stop at 10:02 A M ? Round your answer to two decimal places. )
The time t (in years) until failure of a printer is exponentially distributed with a mean of 6 years
(a) Find the probability density function for the random variable t.
(b) Find the probability that the printer will fail in more than 1 year but less than 5 years. (Round your answer to four decimal places.)
Homework Answers
Add Answer to:
The arrival time t(in minutes) of a bus at a bus stop is uniformly distributed between 10:00 A.M. and 10:03 A.M.
A bus is scheduled to arrive at the bus stop every morning at 8:00 A.M; however,...
A bus is scheduled to arrive at the bus stop every morning at 8:00 A.M; however, its arrival time is uniformly distributed between 7:55 A.M. and 8:05 A.M. The bus is considered to be on time if it is no more than 3 minutes early or 3 minutes late. Assuming that the bus arrivals are mutually independent for different days, give an approximation of the probability that out of 600 days, the bus is going to be on time more...
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.
The probability density function of the time a customer arrives at a terminal (in minutes after...
The probability density function of the time a customer arrives at a terminal (in minutes after 8:00 A.M.) is rx) = 0.5 e-x/2 for x > 0, Determine the probability that (a) The customer arrives by 11:00 A.M. (Round your answer to one decimal place (e.g. 98.7) (b) The customer arrives between 8:16 A.M. and 8:31 A.M. (Round your answer to four decimal places (e.g. 98.7654)) (c) Determine the time (in hours A.M. as decimal) at which the probability of...
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly...
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. (Simplify your answer. Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer Check Answer Clear All...
If a person takes the bus 30 times a month commuting between his dorm and the Dining Hall. It takes the bus 10 minutes to run one loop. The waiting time, in minutes, for a bus to arrive is uniformly d...
If a person takes the bus 30 times a month commuting between his dorm and the Dining Hall. It takes the bus 10 minutes to run one loop. The waiting time, in minutes, for a bus to arrive is uniformly distributed on the interval [0, 10]. Suppose that waiting times on different occasions are independent. What is the standard deviation of the mean waiting time in minutes of a month? Round your answer to three decimal digits. What is the...
Suppose you are waiting at the bus stop in The Neighborhood, and the probability of the...
Suppose you are waiting at the bus stop in The Neighborhood, and the probability of the next bus towards Town Square arriving in the next x hours is uniformly distributed between 3 and 5 hours. a. What are the mean and standard deviation of the distribution? (round to 4 decimal places when necessary) b. What is the probability of the bus arriving between the next 3.75 to 4.5 hours? (don’t round)
The amount of time, in minutes, that a person must wait for a bus is uniformly...
The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between 0 and 15 minutes, inclusive. 1. What is the standard deviation of the distribution? Q is normally distributed with a mean of 100 and a standard deviation of 15. 1. What is the probability that a person chosen at random has an IQ less than 80?
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...
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes. Find the probability that a randomly selected passenger has a waiting time less than 2.75 minutes. Find the probability that a randomly selected passenger has a waiting time less than 2.75 minutes. _______ (Simplify your answer. Round to three decimal places as needed.)
Bus wait times are uniformly distributed between 8 minutes and 24 minutes. The unshaded rectangle below...
Bus wait times are uniformly distributed between 8 minutes and 24 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 11 and 23 minutes. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Preview (Round answer to at least 4 Find the probability that a person waits between 11 and 23? decimal places)
The probability density function of the time a customer arrives at a terminal (in minutes after 8:00 A.M.) is rx) = 0.5 e-x/2 for x > 0, Determine the probability that (a) The customer arrives by 11:00 A.M. (Round your answer to one decimal place (e.g. 98.7) (b) The customer arrives between 8:16 A.M. and 8:31 A.M. (Round your answer to four decimal places (e.g. 98.7654)) (c) Determine the time (in hours A.M. as decimal) at which the probability of...
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes. (Simplify your answer. Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer Check Answer Clear All...
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...
Bus wait times are uniformly distributed between 8 minutes and 24 minutes. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected bus wait time will be between 11 and 23 minutes. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Preview (Round answer to at least 4 Find the probability that a person waits between 11 and 23? decimal places)
Most questions answered within 3 hours.
-
Calculate the pH of each of the following solutions.
0.50 M HBr
3.1×10−4 M KOH
4.2×10−5...
asked 1 hour ago -
For the year ended December 31, Depot Max’s cost of merchandise
sold was $85,600. Inventory at the...
asked 1 hour ago -
Week 10 - Professional Memo Assignment
Professional Memo Assignment
Your mission for this week, should you...
asked 1 hour ago -
Write a Python program that stores the data for each
player on the team, and it...
asked 1 hour ago -
In
the last 3 months, mike never knows when he is going to get his
allowance...
asked 2 hours ago -
Is Ca(OH)2 a Bronsted base, Lewis base, or both? Why?
asked 2 hours ago -
1A- Why don’t voters complain about U.S. tariffs on imported
sugar?
Because sugar is only a...
asked 2 hours ago -
Cash Payback Period
Primera Banco is evaluating two capital investment proposals for
a drive-up ATM kiosk,...
asked 2 hours ago -
Create a button in Swift (Xcode) that will create a charge,
create a charge using Stripe's...
asked 2 hours ago -
The reaction rate of CO and NO2 in the reaction
CO(g) + NO2(g) → CO2(g) +...
asked 2 hours ago -
Imagine that a chemist puts 6.40 mol each of
C3H8 and O2 in a 1.00-L container...
asked 2 hours ago -
How much money should be invested today in order to have $8340
at the end of...
asked 2 hours ago