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
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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.

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