Independent and mutually exclusive events.

 

 

 

 

 

 

Part 1 – Define independent and mutually exclusive events. Can two events be mutually exclusive and independent simultaneously? Support your answer with
an example.
Part 2 – A bag contains 25 balls numbered 1 through 25. Suppose an odd number is considered a ‘success’. Two balls are drawn from the bag with
replacement. Find the probability of getting
two successes
exactly one success
at least one success
no success
Part 3 – Using the attached data set for our company, what is the probability of selecting each rank (for example, supervisor).

 

 

 

 

Sample Solution

Independent and mutually exclusive events

Mutually exclusive events are events that cannot both happen, but should not be considered independent events. Independent events occurs when one event remains unaffected by the occurrence of the other event. Independent events have no impact on the viability of other options. For a basic example, consider the rolling of dice. You cannot roll both a five and a three simultaneously on a single die. There is a relationship between mutually exclusive events and independent events. Mutually exclusive events are necessarily dependent events because one`s existence depends on the other`s non-existence. Dependent events are not necessarily mutually exclusive. They can share sample points while influencing each other`s probabilities in other ways.

sed on weakened health of companies in many countries. They also studied cheating and manipulating cases in financial reports and observed corporate governance of sampled entities. Those reports have confirmed the following: A. The need of having internal auditing function in all companies. B. The internal auditing management has to perform an effective role in governing and evaluating control systems and managing risks. This role of modern auditing is vague and does not define the functions and responsibilities of the internal auditor clearly towards risk management, observation and governing; so it motivates the researcher to study and reveal the role of internal auditing in Libyan industrial companies. 1.2. Issue of study: In the last few years, the increase of bankruptcy, insolvency cases and failure in many companies lead to more interest in internal auditing systems and to the urgent need to activate what is known as company governance. Concerns regarding the necessity of improving the role of internal auditor and adding new functions to the auditor to help in avoiding bankruptcy, insolvency and financial trespasses, particularly after the failure of external auditor in early detection of business risks and in issuing unmodified reports. Being all the time inside the company enables the internal auditor to become more aware of the nature of operations and the level of performance, and also to follow all the actions and all aspects of related activities. The internal auditor also performs a regular test around the year in order to include all types of company operations. So the functions performed by the internal audit of the company have developed. Namely, internal audit become that kind of function which is no longer limited to just testing financial and accounting operations, or even all company operations, it has got the role of testing and evaluating observation systems, and finding and evaluating risks surrounding the activities of the company which reduces related risks in accomplishing the targets of the company. The internal auditing has become a major component of any governing process in the company; it is the function that connects all governing components in the company (management board, auditing committee, external auditor), these various functions have made the internal auditing an activity that adds value. Most professional reports dealing with these developments have confirmed the role of internal auditing in testing and in evaluating observation systems, and in finding out and evaluating treating these risks and governing them. However, the internal audit function in Libya is still concentrating on exercising its traditional role and carrying out the observational function. Therefore, the importance of this role is significant and it should be revealed to industrial companies in Libya in order to illustrate how internal auditing can contribute in supporting the manage

This question has been answered.

Get Answer
WeCreativez WhatsApp Support
Our customer support team is here to answer your questions. Ask us anything!
👋 Hi, Welcome to Compliant Papers.