Both Terence and Tong work at a local actuarial consulting firm in Des Moines.
Terence arrives at the office at a time uniformly distributed between 8:00 a.m. and 8:10 a.m.
Tong arrives at the office at a time uniformly distributed between 8:00 a.m. and 8:15 a.m.
The time at which Terence arrives at the office is independent of the time at which Tong arrives at the office.
Calculate the probability that Terence and Tong arrive within 10 minutes of each other and Tong arrives after Terence.
Both Terence and Tong work at a local actuarial consulting firm in Des Moines. Terence arrives...
A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:30 a.m. Find the probability that the employee will arrive before 8:07 a.m. Round your answer to four decimal places, if necessary.
A person arrives at a bus stop each morning. The waiting time, in minutes, for a bus to arrive is uniformly distributed on the interval (0,15). a. What is the probability that the waiting time is less than 5 minutes? b. Suppose the waiting times on different mornings are independent. What is the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings?
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...
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...
3. Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7, 7:15, 7:30, 7:45, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:40, find the probability that he waits more than 10 minutes for a bus.
5. Suppose that a person commutes to work by bus. The person arrives at the bus stop at the same time every day. The waiting time is uniformly distributed from 5-10 minutes. a) What is the probability that the person waits between 5 minutes and 15 seconds to 7 minutes and 30 seconds? b) What is the probability that the person waits more than 7 minutes and 45 seconds?
Ex. 10Annie and Alvie have agreed to meet between 5:00 P.M. and 6:00 P.M. for dinner at a local health-food restaurant. Let X = Annie's arrival time and Y= Alvie's arrival time. Suppose X and Yare independent with each uniformly distributed on the interval [5, 6].a. What is the joint pdf of X and Y?b. What is the probability that they both arrive between 5:15 and 5:45?c. If the first one to arrive will wait only 10 min before leaving...
Assume that Alice will arrive home this evening at a random time, uniformly distributed between 5pm and 6pm. Bob promises to call Alice “after 5pm”, which means Bob will wait an exponential amount of time after 5pm with expected value 30 minutes and then call Alice. Assume the time Alice arrives home is independent of the time when Bob will call. (a) Compute the probability that Alice will not miss Bob’s call. (b) Compute the probability that Bob will call...
Please show all work. Thank you! Assignment-07: Problem 1 Previous Problem Problem List Next Problem (8 points) The wait time (after a scheduled arrival time) in minutes for a train to arrive is Uniformly distributed over the interval [0, 15]. You observe the wait time for the next 95 trains to arrive. Assume wait times are independent. Part a) What is the approximate probability (to 2 decimal places) that the sum of the 95 wait times you observed is between...
SHOW ALL WORK ANSWER ALL PARTS PROBLEM 16.2 (pg 143,#7) The time X (in minutes) for a lab assistant to prepare the equipment for a certain experiment is known to take anywhere from 10 to 35 minutes. Assume that the probability is uniformly distributed over those times a. The pdf of X is s (x)- . What is the probability that the lab assistant takes c. For any a such that 10 < aa+8 35 (this means less than half...