At the point when the monetary environment takes a plunge, like the worldwide monetary emergency

(GFC) of the mid 2000s or the current COVID-19, organizations should adjust. This

brings about numerous organizations thinking that its important to rebuild and execute

redundancies. Improving an association can require some investment and leave an organization

presented to various dangers during such a progress period. Piccollo Ltd, a

supplier of minimal expense advances is worried that a new rebuilding period has driven

to an unevenness of staff in a portion of its divisions. The board at Piccollo Ltd points

to utilize staff with the end goal that 75% are at the expert level (junior staff group) and

25% are in administrative (ranking staff group) jobs. Ranking staff regularly hold an extraordinary

arrangement of inferred information about organization practices and strategies and may have

much chronicled understanding into the market. They likewise give significant mentorship

furthermore, initiative to the organization's rising stars.

Piccollo Ltd offers three kinds of credits: home advances, vehicle advances and individual advances.

The director of one of Piccollo's divisions is worried that his division has as well

numerous ranking staff, which he guarantees makes challenges in deciding a brief

vital methodology and will prompt budgetary shortages for his division. On the

other hand, another division director is concerned that her division utilizes as well

numerous lesser staff, which she asserts has prompted lower worker fulfillment levels.

A large number of her staff are attempted errands for which they are insufficiently prepared.

Both division directors have asked that some degree of equilibrium across divisions

be kept up. Sadly, different data sets that contain data on

workers' degrees of arrangement and the territories where they are utilized have

not been totally refreshed to mirror all changes. Be that as it may, results introduced

in the beneath table, from a new overview of 48 workers gathered for another

reason, uncover data that may offer some starter bits of knowledge.

Division

Worker level Home Car Personal

Administrator/ranking staff 3 6 3

Advisor/junior staff 8 15 13

Complete utilized 11 21 16

Answer the accompanying inquiries to help directors decide

a) What is an elective method to introduce the data gave in the table

above so the board can without much of a stretch decide the likelihood that somebody

works in a particular division and has a specific arrangement?

b) The administration of Piccollo endeavors to recruit and place staff in every division

in light of client interest. What does the likelihood of somebody working

in every division recommend about the kinds of credits that clients are looking

for from Piccollo Ltd?

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c) Piccollo Ltd trusts that advisor representatives dwarf administrators such

that one out of four representatives, or 25% of complete workers, would be a senior

staff part in an administrative job. Utilizing the review of 48 staff individuals, is

this being accomplished?

d) Using the qualities introduced for the situation study, what is the likelihood that a

staff part would be utilized in an administrative job, given that the

worker is utilized in the home advances division, the vehicle credits division or

the individual advances division?

e) What do the reactions to questions c) and d) propose about the relationship

between the degree of arrangement of a staff part and the division in which

they are utilized? On the off chance that the example size was expanded and the probabilities

determined were something similar, how concerned should Piccollo the board be

about the rebuilding that has happened? To what division ought to their

concerns be coordinated? How might these worries be tended to?

3. Suppose you are given random variables X and Y such that X ~ Normal(Mr, 2), and Y X = x ~ Normal(Bo + Bix, 62). Show that the joint distribution of (X, Y ) is bivariate normal, and find the five parameters of the bivariate normal distribution (HI, My, 62, Oy, Pry).4.10 Suppose you are given random variables x and y such that x - N(Ur, x) yx ~ N(Bo + Bix, 02) so you have the marginal distribution of x and the conditional distribu- tion of y given x. The joint distribution of (x, y) is bivariate normal. Find the 5 parameters (Ur, My, ON, Ov, Pry ) of the bivariate normal.10.115 Matrix representation of a bivariate normal PDF: Suppose that X and Y ar bivariate normal random variables. Let x be the column vector whose entries are a and J. let a be the column vector whose entries are ur and up, and let Var(X) Cov(X, b)] E Cov(Y, X) Var (Y)Which distribution involves two random variables that may or may not have a numerical relationship with each other? O the discrete - uniform distribution a bivariate discrete distribution O the Poisson distribution O the binomial distribution