Question

In: Statistics and Probability

There is a special calculator that when adding numbers rounds the number to the closest integer....

There is a special calculator that when adding numbers rounds the number to the closest integer. For example, 1.1 + 2 + 3.6 will be calculated as 1 + 2 + 4. The error from each addition follows a uniform distribution of (-0.5, 0.5).

a. When 1500 numbers are added, what is the probability that the absolute value of the total error is greater than 15?

b. How many numbers can be added until the probability of the absolute value of the total error being less than 10 is equal to 0.9?

Please thoroughly explain where each equation comes from and how to work the problem!

Solutions

Expert Solution


Related Solutions

There is a special calculator that when used to add numbers up, it always rounds up...
There is a special calculator that when used to add numbers up, it always rounds up or down the number to the closest integer and ignore the decimals. For example, you want to add 1.1+2+3.6, it will show can calculate as 1+2+4, etc. Assume the error from each adding follows uniform distribution on (-0.5, 0.5). When adding 1500 numbers together, what is the probability of the absolute value of total error is greater than 15? How many numbers can you...
that, given an integer N and an integer K, returns the minimum number of rounds that...
that, given an integer N and an integer K, returns the minimum number of rounds that are necessary for John to leave the casino with N chips, having played all-in no more than K times.
Write a Java program to convert decimal (integer) numbers into their octal number (integer) equivalents. The...
Write a Java program to convert decimal (integer) numbers into their octal number (integer) equivalents. The input to the program will be a single non-negative integer number. If the number is less than or equal to 2097151, convert the number to its octal equivalent. If the number is larger than 2097151, output the phrase “UNABLE TO CONVERT” and quit the program. The output of your program will always be a 7-digit octal number with no spaces between any of the...
Write a Java program to convert decimal (integer) numbers into their octal number (integer) equivalents. The...
Write a Java program to convert decimal (integer) numbers into their octal number (integer) equivalents. The input to the program will be a single non-negative integer number. If the number is less than or equal to 2097151, convert the number to its octal equivalent. If the number is larger than 2097151, output the phrase “UNABLE TO CONVERT” and quit the program. The output of your program will always be a 7-digit octal number with no spaces between any of the...
A zombie picks up a calculator and starts adding odd whole numbers together, in order: 1...
A zombie picks up a calculator and starts adding odd whole numbers together, in order: 1 + 3 + 5......etc. You want to be able to determine the last number the zombie will add that will make the sum exceed some target number, such as "What will be the last number added that will make the sum on his calculator greater than 10,000?". Write the MATLAB code necessary to solve this problem for the zombie or he will eat your...
Write a C++ program to read a collective of integer numbers. I f the number is...
Write a C++ program to read a collective of integer numbers. I f the number is greater than zero and less than 15 then terminate the loop and find factorial of the number
Integer value calculator: Write a program using C++ that acts as a calculator. The program should...
Integer value calculator: Write a program using C++ that acts as a calculator. The program should ask the user for two numbers and an operator. Then the program must print the result using the two input values and the operator. Prompts and input requirements. Ask the user for two integer values and a value that indicates the operation. Likely you will want to choose the normal operators: + - * / %. Output Requirements: Make your output easy to understand,...
When adding two signed binary numbers , what does it mean when unsigned overflow has occured?...
When adding two signed binary numbers , what does it mean when unsigned overflow has occured? What is the result of subtracting 1000 from 0001? What, if any, overflows would occur?
What are the special features of "The nurse’s handing over process" and also the "Grand rounds"...
What are the special features of "The nurse’s handing over process" and also the "Grand rounds" at your facility that make them creators of supportive EBP environment?
C++ program that reads a positive integer number from a user and displays all binary numbers...
C++ program that reads a positive integer number from a user and displays all binary numbers from 0 to the number. For the program, you can assume that the input number is a number between 0 and 100. Sample Run 1: Assume that the user typed the following number. 5 This is the correct output of your program. 000 001 010 011 100 101 Sample Run 2: Assume that the user typed the following number. 0 This is the correct...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT