Michael takes a bus every day to university. The bus arrives on time at his stop...
Michael takes a bus every day to university. The bus arrives on time at his stop 82% of the time, and whether the bus is on time on any given day is independent of any other day. If Michael takes the bus every day during the school week (Monday - Friday), what is the probability the bus is on time at least 4 of the 5 days? Question 12 options: 0.7776
0.8185
0.5357
0.6228
0.4069
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Michael takes a bus every day to university. The bus arrives on
time at his stop...
For a passenger who arrives at a certain bus stop at a random moment in time,...
For a passenger who arrives at a certain bus stop at a random moment in time, the time spent waiting for the bus is uniformly distributed from 0 to 9 minutes. What is the probability someone who arrives at this bus stop at a random moment will wait at least 7 minutes for the bus? (Round to the nearest tenth of a percent.)
A bus arrives every 11 minutes to a stop. The waiting time for a particular individual...
A bus arrives every 11 minutes to a stop. The waiting time for a particular individual is assumed to be a random variable with uniform continuous distribution. What is the probability that the individual waits for more than 6 minutes? Answer using 4 decimals.
2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus s...
2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus stop on the route, his minimum waiting time is 0 minutes and his maximum waiting time is 10 minutes, and between these two times, all possible waiting times are equally likely. Write down the probability density function for waiting times on the bus route and draw the distribution. What is the expected waiting time? What is the standard...
A person arrives at a bus stop each morning. The waiting time, in minutes, for a...
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?
2. The University of Southwest Arizona provides bus transportation services to students while they are on...
2. The University of Southwest Arizona provides bus transportation services to students while they are on campus. A bus arrives at the North Main Street and College Drive stop every 30 minutes, between 6 in the morning and 11 at night during the week. Students arrive at the stop at random times. The time a student waits has a uniform distribution of 0 to 30 minutes. A. Draw a graph of the distribution. B. Show that the area of this...
C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops...
Question D
C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops in between. The bus is perfectly punctual and arrives at Stop A at precise five minute intervals (6:00, 6:05, 6:10, 6:15, etc.) day and night, at which point it immediately picks up all passengers waiting. Citizens of Regular Bus City arrive at Stop A at Poisson random times, with an average of 5 passengers arriving every minute,...
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...
Currently the bus runs every 7 minutes during the day. Let X represent the amount of...
Currently the bus runs every 7 minutes during the day. Let X represent the amount of time Sofia waits for the bus, assuming she arrives at the bus stop at a random time and the bus is running on schedule. (That is, the amount of time Sofia waits is uniformly distributed.) Find the following probabilities (use 2 decimal places for all answers): (a) The probability Sofia waits at most 2 minute(s) = (b) The probability Sofia waits less than 2...
postman makes a delivery every weekday (Monday to Friday) around 10 AM. The probability for the...
postman makes a delivery every weekday (Monday to Friday) around 10 AM. The probability for the postman to be late for delivery in a certain day is 0.4. 1. What is the probability that the postman will be late on no more than 2 days during the working week (Monday to Friday)? 2. What is the probability that the postman is late for the first time on the 5th day? 3. How long until the postman is expected to be...
A postman makes a delivery every weekday (Monday to Friday) around 10 AM. The probability for...
A postman makes a delivery every weekday (Monday to Friday) around 10 AM. The probability for the postman to be late for delivery in a certain day is 0.4. 1. What is the probability that the postman will be late on no more than 2 days during the working week (Monday to Friday)? 2. What is the probability that the postman is late for the first time on the 5th day? 3. How long until the postman is expected to...
2. The 46A bus leaves the terminus every 10 minutes exactly. For this reason, for any individual who arrives at a bus stop on the route, his minimum waiting time is 0 minutes and his maximum waiting time is 10 minutes, and between these two times, all possible waiting times are equally likely. Write down the probability density function for waiting times on the bus route and draw the distribution. What is the expected waiting time? What is the standard...
Question D
C. In Regular Bus City, there is a shuttle bus that goes between Stop A and Stop B, with no stops in between. The bus is perfectly punctual and arrives at Stop A at precise five minute intervals (6:00, 6:05, 6:10, 6:15, etc.) day and night, at which point it immediately picks up all passengers waiting. Citizens of Regular Bus City arrive at Stop A at Poisson random times, with an average of 5 passengers arriving every minute,...
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