A store assembles some segment data from their clients. The accompanying diagram sums up the age-related data they gathered:

Age Number of Customers

20-30 72

30-40 60

40-50 56

50-60 93

?60?60 53

One client is picked aimlessly for a prize giveaway.

What is the likelihood that the client is in any event 30 yet no more seasoned than 60?

What is the likelihood that the client is either more seasoned than 50 or more youthful than 30?

What is the likelihood that the client is at any rate 50?

Assume that in a specific country, the likelihood of having red hair is 0.20, and the likelihood of having blue eyes is 0.30. The likelihood of having the two qualities is 0.06. The probabilities are appeared in the Venn graph, where ?An is the occasion that an arbitrarily picked occupant of this nation has red hair, and ?B is the occasion that a haphazardly picked occupant has blue eyes.

A not B Both B not A

0.14 0.06 0.24

A=0.20 B= 0.30

Figure the restrictive likelihood of an individual having blue eyes given that the person has red hair, and utilize the worth to decide if having blue eyes and red hair are autonomous.

P(B/A=)

Having red hair is? of having blue eyes in light of the fact that?

i11i

a) Market research has shown that 60% of people who are acquainted with a specific item really purchase the item. An arbitrary example of 15 people were acquainted with the item.

I. Characterize the variable of interest for this situation.

ii. What likelihood circulation do you think best depicts the circumstance? Why?

iii. Compute the likelihood that precisely 9 will purchase the item.

iv. On the off chance that 80 people are acquainted with the item, decide the quantity of individual who are required to purchase the item.

b) It is realized that a normal of 5 trains go through Grand Central Terminal like clockwork. Discover the likelihood that

I. Precisely 4 trains will pass in a short time

ii. under 2 trains will pass in 60 minutes

The Chief Information Officer (CIO) at Old Dominion University - ODU-is attempting to improve the college's data network security. The CIO is attempting to assess another interruption discovery innovation on the lookout for a potential trade for the current framework. An interruption recognition framework sounds an "alert" each time conceivable malevolent assault on an organization is identified. The accompanying data is given:

Occasion of interest, A, is an assault

Proof, B, is interruption recognition framework setting off because of abnormal traffic

Likelihood of an assault is 0.01

For the right now introduced situation, the likelihood of a caution given that there is an assault is 0.9, while the likelihood of an alert given there is no assault is 0.25.

For the new innovation, the likelihood of an alert given that there is an assault is 0.8, while the likelihood of a caution given there is no assault is 0.1.

The CIO expects that there are just two sorts of occasions: either there is, or there is no assault.

The CIO is utilizing "proof proportion," depicted as P(B|A)/P(B|A') as an approach to look at the innovations. Kindly assistance the CIO contrast the new innovation and the as of now introduced framework by addressing the accompanying inquiries:

What is proof proportion for the right now introduced situation?

30ne of the most important contributions that high-finance people talk about is financial innovation, which includes things like securitization, creation of derivatives, risk management and hedging, and finding innovative ways of capital management. Many people claim that no country can prosper without a great financial system. But after the 2003 financial crisis, these claims have been disputed by many people. Provide a thoughtful discussion on the following topic: Does financial innovation help economic growth? 1. Do you think that personal financial planning follows the same guidelines as corporate financial planning? Explain your answers with strong, academic arguments. 2. You are an advanced management student with an emphasis on corporate inance. What important elements or aspects of corporate finance, if any, are critical to organizing your personal inances. 3. Do you believe that corporate scandals are largely influenced by personal financial problems of those who have caused these financial collapses? Please provide concrete examples and academic references of peer-reviewed studies for both this and previous responses. From the under listed theories i.e Agency Theory, Corporate Governance Theory, Capital Structure Theory, Corporate Finance Theories, Dividend Theory, Behavioral Finance Theory, Interest Rates Theories, Investment Theory, Financial Theory, Financial Markets, Financial Innovations, Financial Contagion, Financial Regulations, E-Finance, Portfolio Theory, Asset Pricing Theories, Public Sector Finance . Identify at least four theories, analyze and present the answers in a tabular form as guided below Theory Background Ethical Gaps Empirical Methodological criticism criticism State the theory -Those -Gaps that need Research design embraced to be addressed embraced. -who authored sample size, the theory-year -Those ignores -Indicate other sampling -circumstances scholars who techniques, the theory was reviewed the data collection first applied theory indicating and analysis the year and tools and the Issues the theory what they said gaps noted addressed about it . Based on the challenges identified above identify a wider area of study and develop a suitable research topic . Develop a research proposal based on the topic identified aboveThe Financial Accounting Standards Board issued Statement of Financial Accounting Standard No. 133, "Accounting for Derivatives and Hedging Activities," as part of its project on financial instruments and its effort to deal with off-balance-sheet financing. Explain what is meant by the term "off-balance-sheet financing" and give two reasons why "off-balance-sheet financing" is attractive to the management of an enterprise. ANS