Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 40 times. What is the probability that the average transport time was less than 30 minutes?
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find
now we calculate value of z by central limit theorem
the value of z to the left = 0.9943
Traveling between two campuses of a university in a city via shuttle bus takes, on average,...
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,...
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...
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...
Problem 8 The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 30 to 48 minutes. Let X denote the time until the next bus departs. a. The distribution is Uniform and is continuous b. The mean of the distribution is u = 39 c. The standard deviation of the distribution is 0 = d. The probability that the time until the next bus departs is between 30 and 40 minutes is...
The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 20 to 41 minutes. Let X denote the time until the next bus departs. (3%) The distribution is and is . (3%) The density function for X is given by f(x)= , with ≤X≤ . (3%) The mean of the distribution is μ= . (3%) The standard deviation of the distribution is σ= . (3%) The probability that...
Can someone explain all these questions? B5. In order to go to university a student needs to catch a train at 8:41a.m. every morning. Cycling to the station from home takes the student on average 14 minutes, with a standard deviation of 3 minutes. You can assume that the distribution of trip times is normally distributed and independent between days i) What is the probability that the student's cycle ride to the station will take more than 21 4 marks...
average weekly earnings of bus drivers in a city are $1050 (that is μ) with a standard deviation of $54 (that is σ). Assume that we select a random sample of 81 bus drivers. a. Assume the number of bus drivers in the city is large compared to the sample size. Compute the standard error of the mean. b. What is the probability that the sample mean will be greater than $1080? c. If the population of bus drivers consisted...
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...
The time it takes a student to finish a chemistry test is uniformly distributed between 50 and 70 minutes. What is the probability density function for this uniform distribution? Find the probability that a student will take between 40 and 60 minutes to finish the test. Find the probability that a student will take no less than 55 minutes to finish the test. What is the expected amount of time it takes a student to finish the test? What is...
If we know that the length of time it takes a university student to find a parking space in the university car park follows a normal distribution with a mean of 4.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected university student will find a parking space in the car park in less than 3 minutes. Show your working or attach an image of your handwritten solution (write your name at the top...