Fifty numbers are rounded off to the nearest integer and then summed. If the individual roundoff errors

Question:

Fifty numbers are rounded off to the nearest integer and then summed. If the individual roundoff errors are uniformly distributed over (−.5, .5), approximate the probability that the resultant sum differs from the exact sum by more than 3.

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: 9789332519077

9th Edition

Authors: Sheldon Ross

See More Books

Question Posted: Oct 22, 2015 03:05 AM

See More Questions

Let X be a random variable distributed uniformly over [0, 20]. Define a new random variable Y by Y = [X] (the greatest integer in X). Find the expected value of Y. Do the same for Z = [X + .5]....
Let X be a random variable distributed uniformly over [0, 20]. Define a new random variable Y by Y = [X] (the greatest integer in X). Find the expected value of Y. Do the same for Z = [X + .5]....
In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of activity of the stock market. Using the following prices of Delta...
= 0.5. The p.d.f. for the waiting time X until an event occurs often follows the exponential distribution (to be studied in Section 7.6), with the form g(x) = e-x for some positive value of , defined...
For the data in Exercise 5 in this section, construct a histogram, frequency polygon, and give using relative frequencies. What proportion of the railroad crossing accidents are less than 87? In...
An interplanetary spaceship passes through the point in space where the gravitational forces from the sun and the earth on the ship exactly cancel. (a) How far from the center of the earth is it? Use...
Consider the kinematic viscosity data in Table B.10. a. Perform a thorough residual analysis of these data. b. Identify the most appropriate transformation for these data. Fit this model and repeat...
Consider the business event processing activity, entering a customers order. Identify the key business event data ( who, what, where, and when) you would want to capture.
A researcher believes that 48% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher, this figure is actually 50% , which is the same as in the general...
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Suppose the standard deviation of time spent on the job is 27 minutes. a....
Let X1, . . . ,X20 be independent Poisson random variables with mean 1. (a) Use the Markov inequality to obtain a bound on (b) Use the central limit theorem to approximate 20 , > 15
A die is continually rolled until the total sum of all rolls exceeds 300. Approximate the probability that at least 80 rolls are necessary.
Hendrys Boutique is a retail clothing store for women. The store operates out of a rented building in Storm Lake, Iowa. Shown below is the stores adjusted year-end trial balance dated December 31,...
How can the customer value from a smart-product-service offering be evaluated?
Are businesses thinking about their services, about how they will play in the Web 3.0 world? For example, Facebook is transitioning to Meta.
How can companies include these research techniques in their digital innovation development process?
How does GBB compare with other packaging options such as open bundles or functional bundles?
What are value-based price model types and what are their reference variables?
The augmented matrix is in row-echelon form and represents a linear system. Solve the system by using backward substitution, if possible. Write the solution as either an ordered pair or an ordered...
At the beginning of its fiscal year, Lakeside Inc. leased office space to LTT Corporation under a seven-year operating lease agreement. The contract calls for quarterly rent payments of $25,000 each....
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter = 20 (suggested in the article...
Consider writing onto a computer disk and then sending it through a certifier that counts the number of missing pulses. Suppose this number X has a Poisson distribution with parameter = .2....
An article in the Los Angeles Times (Dec. 3, 1993) reports that 1 in 200 people carry the defective gene that causes inherited colon cancer. In a sample of 1000 individuals, what is the approximate...
Non-liquidating distributions can be dividends, return of capital, or capital gain income to a shareholder. What type of distribution would be capital gain?
TranscribedText: Req A1 Req A2 Req C1 Req C2 Req D1 Req D2 Complete the table under the current cost system. (Round your intermediate calculations and final answers to 2 decimal places. Negative...
Anton's Fresh Fish and Produce is a wholesale distributor that operates in central Florida. An analysis of two of the company's customers, Seaside Spa and Sigma Assisted Living, reveals the data that...

Fifty numbers are rounded off to the nearest integer and then summed. If the individual roundoff errors

Question:

Step by Step Answer:

Letting X i denote the i th roundoff error it foll...View the full answer

A First Course In Probability

Students also viewed these Statistics questions