You arrive at a bus stop at 10 A.M. , knowing that the bus will arrive at

Question:

You arrive at a bus stop at 10 _A.M., knowing that the bus will arrive at some time uniformly distributed between 10 and 10:30.

a. What is the probability that you will have to wait longer than 10 minutes?

b. If, at 10:15, the bus has not yet arrived, what is the probability that you will have to wait at least an additional 10 minutes?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

A First Course In Probability

ISBN: 9780134753119

10th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Sep 09, 2021 03:35 AM

See More Questions

Suppose that you arrive at a bus stop randomly, so all arrival times are equally likely. The bus arrives regularly every 30 minutes without delay (say, on the hour and on the half hour). What is the...
(a) Consider a random variable uniformly distributed between 0 and 2. Show that E(X 2 ) > E 2 (X). (b) Consider a random variable uniformly distributed between 0 and 4. Show that E(X 2 ) > E 2 (X)....
Values are uniformly distributed between 200 and 240. a. What is the value of f (x) for this distribution? b. Determine the mean and standard deviation of this distribution. c. Probability of (x >...
Scranton Refrigeration Corporation began operations at the beginning of the current year. One of the companys products, a compressor, sells for $370 per unit. Information related to the current years...
Write the balanced chemical equation between aluminum hydroxide and sulfuric acid.
FNBC is a business brokerage firm that assits in the purchase and sale of businesses. Jennings and Hennessey were independent contractors working for FNBC. They left FNBC, and FNBC sued them for...
How does this research help organizations in defining a differentiation strategy?LO1
What role did organizational ethics play in the Beazer Homes fraud? Is this something the auditors of Deloitte should have been more conscious of? Explain.
On January 1, 2018, Sledge had common stock of $270,000 and retained earnings of $410,000. During that year, Sledge reported sales of $280,000, cost of goods sold of $145,000, and operating expenses...
Silver Lining, Inc., provides investment advisory services. The company adjusts its accounts monthly, but performs closing entries annually on December 31. The firms unadjusted trial balance dated...
Each member of a population of size n is, independently, female with probability or male with probability 1 - p. Let X be the number of the other n - 1 members of the population that are the same sex...
Repeat Problem 6.60 when X and Y are independent exponential random variables, each with parameter = 1. Problem 6.60 If X and Y are independent and identically distributed uniform random variables...
Why is it more desirable to run test data through the live system than the dead system?
If the dose rate from a sample of Ga-67 is 0.052 mSv per hour at a distance of 1.1 m, then what would be dose rate at 3.5 m ?
A 1.6x10^9 p/s point source of Po210-Be source of 4.5 MeV is stored behind a X cm of paraffin, the dose equivalent rate is not to exceed 0.10 mSvh-1h at a distance of 1m. What is the X cm needed to...
X 10 Let A = -9 y 7 4 Z 210 If the kernel of A contains the vector what are x, y, and z? -2
8-22. E.O.Q., Carrying cost = Storing cost + Interest. Following data are available with respect to a certain material. Annual requirement.......... Cost to place an order.. Annual interest rate. _...
A new company started production. Job 1 was completed, and Job 2 remains in production. Here is the information from the job cost sheets from their first and only jobs so far: Job 1 Hours Total Cost...
A variance analysis investigating the purchase and use of direct materials and direct labour has been completed and the following results are known: Direct materials purchases: AQ AP: 12,000 metres...
Repeat the previous problem, but close the positions on September 20. Use the spreadsheet to find the profits for the possible stock prices on September 20. Generate a graph and use it to identify...
In Problem 6, calculate the variance of the sum of the rolls. Problem 6 A fair die is rolled 10 times. Calculate the expected sum of the 10 rolls.
In Problem 9, compute the variance of the number of empty urns. Problem 9 A total of n balls, numbered 1 through n, are put into n urns, also numbered 1 through n in such a way that ball i is equally...
If E[X] = 1 and Var(X) = 5, find (a) E[(2 + X)2]; (b) Var(4 + 3X). Discuss.
Aecerty 1067687 was completed with the folowing charaderistick Murulectere sec00 5xs:99 s35ida sputed
Assume todays settlement price on a CME EUR futures contract is $1.3180 per euro. You have a long position in one contract. EUR125,000 is the contract size of one EUR contract. Your performance bond...
Q2. Company ABC bought an equipment for $20,000 in 2015, with useful life of 5 years $5,000 residual value amortized using straight-line method. Prepare a table to illustrate the differences...

You arrive at a bus stop at 10 A.M. , knowing that the bus will arrive at

Question:

Step by Step Answer:

The probability density function for the bus will arrive at some time unifo...View the full answer

A First Course In Probability

Students also viewed these Mathematics questions