Consider the following program statement consisting of a while loop while ¬B do S Assume that the Boolean expression B takes the value true with probability p and the value false with probability q. Assume that the successive test on B are independent. 1. Find the probability that the loop will be executed k times. 2. Find the expected number of times the loop will be executed. 3. Considering the same above assumptions, suppose the loop is now changed to repeat S until B What is the expected number of times that the repeat loop will be executed?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

Consider the following program statement consisting of a while loop
while ¬B do S
Assume that the Boolean expression B takes the value true with probability p and the value false with
probability q. Assume that the successive test on B are independent.
1. Find the probability that the loop will be executed k times.
2. Find the expected number of times the loop will be executed.
3. Considering the same above assumptions, suppose the loop is now changed to
repeat S until B
What is the expected number of times that the repeat loop will be executed? 

Expert Solution
Step 1

Execution:

Execution refers to the process of carrying out or performing a set of instructions or commands in a program. It involves the computer reading and sequentially executing the instructions, performing actions such as arithmetic operations, data manipulation, and control flow statements. Execution continues until the end of the program or until a termination condition is met.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Topological Sort
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education