Bus time-table Bus-stop Monday to Saturday Sunday Gorse 06:45 08:30 20.45 08 10 19 10 Common Oakleigh 07.10 08 55 21.10 08.35 19.35 Hurstcombe 07.28 0913 and every 1 hr 45 21 28 08 53 and every 2 hrs 45 19 53 mins until mins until Marshdale 08.01 09.46 22:01 09.26 20.26 Riley Arms 08 16 10 01 22 16 09.41 20.41 Maidencote 08.40 10 25 22 40 10.05 21.05 Maidencote 07 10 08.55 21.10 08.25 19.25 Riley Arms 07:34 09 19 21 34 08.49 19 49 Marshdale 07:49 09.34 and every 1 hr 45 21 49 09 04 and every 2 hrs 45 20 04 mins until mins until Hurstcombe 08:22 10.07 22:22 09 37 20.37 Oakleigh 08 40 10 25 22 40 09 55 20.55 Gorse 09.05 10 50 23 05 10.20 21 20 Common All buses are assumed to run on time, and there are no alternative connections Buses are assumed to arrive at, and depart from, bus-stops at the same time
Added by Diego F.
Close
Step 1
It seems to be a bus timetable with different bus stops and their respective timings on different days. The bus stops mentioned are: Show moreā¦
Show all steps
Your feedback will help us improve your experience
Piyush Kumar Gupta and 89 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
On a given morning between 7:00 AM and 7:30 AM, a person and a bus arrives at a bus stop in accordance to the arrival-time distributions below. Arrival Time | For The Person | For The Bus 7:00 AM | 0.05 | 0.10 7:05 AM | 0.10 | 0.15 7:10 AM | 0.15 | 0.20 7:15 AM | 0.20 | 0.25 7:20 AM | 0.25 | 0.15 7:25 AM | 0.15 | 0.10 7:30 AM | 0.10 | 0.05 (12 points) Using the following twenty random numbers (ten for the person and ten for the bus) run a 10-day simulation and determine from this simulation the probability that the person catches the bus on a given morning, assuming that the person catches the bus whenever the person arrives before or at the same time as the bus arrives. Run Number | Random Number For Person's Arrival Time | Random Number For Bus's Arrival Time 1 | 0.2245 | 0.1134 2 | 0.6533 | 0.7821 3 | 0.3312 | 0.9210 4 | 0.9278 | 0.8300 5 | 0.8815 | 0.5703 6 | 0.1377 | 0.0898 7 | 0.5535 | 0.8632 8 | 0.0398 | 0.4318 9 | 0.1845 | 0.9729 10 | 0.4422 | 0.2934 (13 points) Compute the theoretical probability that the person catches the bus based on the arrival time pmf's given above for the person and bus.
Sri K.
A bus is scheduled to stop at a certain bus stop every half hour on the hour and the half hour. At the end of the day, buses still stop after every 30 minutes, but because delays often occur earlier in the day, the bus is never early and is likely to be late. The director of the bus line claims that the length of time a bus is late is uniformly distributed and the maximum time that a bus is late is 20 minutes. a. If the director's claim is true, what is the expected number of minutes a bus will be late? b. If the director's claim is true, what is the probability that the last bus on a given day will be more than 19 minutes late? c. If you arrive at the bus stop at the end of a day at exactly half-past the hour and must wait more than 19 minutes for the bus, what would you conclude about the director's claim? Why?
A bus arrives every 20 minutes at a specified stop beginning at 6:40 am and continuing until 8:40 am. A certain passenger does not know the schedule, but arrives perfectly randomly between 7:00 am and 7:30 am every morning. What is the probability that the passenger waits: a. at least 5 minutes, b. at most 8 minutes, c. at most 15 minutes, and d. more than 20 minutes, for the bus?
Pratyush R.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD