In front of the university campus in Diepenbeek, there is a bus stop at which there...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
In front of the university campus in Diepenbeek, there is a bus stop at which there leaves every 20 minutes a bus to Hasselt. More, specifically, a bus leaves at the hour, 20 min past the hour or 40 min past the hour. When you do not worry about the time schedule and arrive at random at the bus stop, you can show that the average waiting time to the next bus is always 10 minutes by using a continuous uniform distribution. Just after the June exam period, the bus company has slightly changed the bus schedule. The buses now come at the hour, 10 min after the hour or 30 min after the hour. If you assume that you still not worry about the time schedule and arrive at random at the bus stop, how will the average waiting time for the next bus change? To solve this problem, we define the random variables: X = Time until the next bus when you arrive at random at the bus stop Y = the time point in the hour when you arrive at random at the bus stop a. What is the probability that you randomly arrive at the bus stop between 25 min past the hour and 40 min past the hour. b. Give the density of the random variable Y. e. Give the conditional density of the random variable X, given that Y = y. d. Are the variables X and Y independent of each other? e. Calculate the average waiting time to the next bus E[X]. In front of the university campus in Diepenbeek, there is a bus stop at which there leaves every 20 minutes a bus to Hasselt. More, specifically, a bus leaves at the hour, 20 min past the hour or 40 min past the hour. When you do not worry about the time schedule and arrive at random at the bus stop, you can show that the average waiting time to the next bus is always 10 minutes by using a continuous uniform distribution. Just after the June exam period, the bus company has slightly changed the bus schedule. The buses now come at the hour, 10 min after the hour or 30 min after the hour. If you assume that you still not worry about the time schedule and arrive at random at the bus stop, how will the average waiting time for the next bus change? To solve this problem, we define the random variables: X = Time until the next bus when you arrive at random at the bus stop Y = the time point in the hour when you arrive at random at the bus stop a. What is the probability that you randomly arrive at the bus stop between 25 min past the hour and 40 min past the hour. b. Give the density of the random variable Y. e. Give the conditional density of the random variable X, given that Y = y. d. Are the variables X and Y independent of each other? e. Calculate the average waiting time to the next bus E[X].
Expert Answer:
Related Book For
Statistics For Managers Using Microsoft Excel
ISBN: 9780133130805
7th Edition
Authors: David M. Levine, David F. Stephan, Kathryn A. Szabat
Posted Date:
Students also viewed these mathematics questions
-
Googles ease of use and superior search results have propelled the search engine to its num- ber one status, ousting the early dominance of competitors such as WebCrawler and Infos- eek. Even later...
-
Jim McNerney is racking up quite a record at 3M. Now, can he rev up its innovation machine? Jim McNerney was one of those boys: up early in the morning climbing trees while everybody else in the...
-
You and Sam have been in touch since the Palm Beach Business Development Luncheon, and he has expressed interest in your working on his business audit. The two of you make plans to meet for lunch,...
-
If follows the geometric Brownian motion process in equation (14.6), what is the process followed by (a) y = 2S, (b) y = S 2 , (c) y = e S , (d) y = e r(T-t) /S. In each case express the coefficients...
-
Gunter Grass Company is considering changing its inventory valuation method from FIFO to LIFO because of the potential tax savings. However, the management wishes to consider all of the effects on...
-
Isabella Lopez plans to open a company that will design and manufacture accessories for smartphones. In preparing to do this, she read that having a clearly articulated business model will help all...
-
Preparing a Trial Balance Dell Inc. is the world's largest computer systems company selling directly to customers. Products include desktop computer systems, notebook computers, workstations, network...
-
The correct syntax of the re . sub ( ) function is re . sub ( string , replacement, pattern ) re . sub ( pattern , string, replacement ) re . sub ( replacement , pattern, string ) re . sub ( pattern...
-
Bowden Building Supply's opening inventory for the year was $810,000 and ending inventory was $625,000 on sales of $6.650,000 and cost of goods sold of $3,600,000. What was Bowden Building Supply's...
-
I attached the entire code but the only parts that need to be fixed are the def calc_movie_feature_matrix in class ContentBased, calc_item_item_similarity in class ContentBased, and predict_from_sim...
-
ROWAN'S RESTAURANT Religious Rowan worked for many years for a hotel restaurant as a waitstaff person. The restaurant had a family-style menu and was closed on Sundays. The restaurant was owned and...
-
Determine the shear force acting at each of the following locations: (a) x=0+ m (ie. just to the right of point A) (b)x-2.5-m (ie, just to the left of B) (c) x-2.5+ m (ie., just to the right of B)...
-
explain column exchange chromoyagraphy how amino acid content is identified, with drawing and simple step Explanation
-
Sebastian originally sold his home in an installment sale for $300,000. At the time, his adjusted basis in the home was $220,000. He qualified for the Section 121 principal residence exclusion, so...
-
You and your friends are having a picnic. You are in-charge of supplying soft drinks for everybody, At the store, you find two possible ways to buy the soft drinks: a 1.5 L bottle that costs php 65...
-
Federated Shipping, a competing overnight delivery service, informs the customer in Problem 65 that they would ship the 5-pound package for $29.95 and the 20-pound package for $59.20. (A) If...
-
College basketball is big business, with coaches' salaries, revenues, and expenses in millions of dollars. The file College Basketball contains the coaches' salary and revenue for college salaries on...
-
The marketing manager of a large super market chain has the business objective of using shelf space most efficiently. Toward that goal, she would like to use shelf space to predict the sales of a...
-
The value of a sports franchise is directly related to the amount of revenue that a franchise can generate. The file BBRevenue2012 represents the value in 2012 (in $millions) and the annual revenue...
-
How can environmental agents that do not cause gene mutations contribute to cancer?
-
With regard to biological evolution, which of the following statements is incorrect? Explain why. A. During its lifetime, an animal evolves to become better adapted to its environment. B. The process...
-
Marfan syndrome is a rare inherited human disorder characterized by unusually long limbs and digits plus defects in the heart (especially the aorta) and the eyes, among other symptoms. Following is a...
Study smarter with the SolutionInn App