An example of a disincentive?

In the workplace, racial discrimination is a very serious issue. Consider a company in which 20% of the employees are African-Am

Tema [17]

Answer:

a) It is expected that 8 African-Americans get promotions.

b) There is a 8.6% probability that 5 African-Americans get promotions.

c) There is a 16.2% probability that at five or less African-Americans get promotions.

d) The company may be accused of racial discrimination because the ammount of promotions given to African-Americans is much less than expected if there were no discrimination. The expected value, if there is no discrimination, of having more than 5 promotions for African American employees is 84%.

Explanation:

The question is incomplete.

Complete question:

In the workplace, racial discrimination is a very serious issue. Consider a company in which 20% of the employees are African-American. At the end of the year, promotions are awarded to a group of employees. Out of the 40 promotions awarded, five are African-American. Given that the awarding follows the binomial distribution, B(40,.2).

a) How many African-Americans would you expect to get promotions?

b) What is the probability that five African-Americans receive promotions?

c) What is the probability that five or fewer African-Americans receive promotions?

d) Do you think the company is suspect of racial discrimination? Explain your thinking.

a) As this situation can be modeled by a binomial distribution B(40,0.2), the expected number of African-Americans that get promotions can be calculated as the expected value of the binomial distribution:

$X\sim B(40,0.2)\\\\E(X)=np=40*0.2=8$

It is expected that 8 African-Americans get promotions.

b) Accordingly to the binomial distribution, we have:

$P(X=5)=\frac{40!}{5!35!}*(0.2)^5*(0.8)^{35}=658008*0.00032*0.0004= 0.086$

There is a 8.6% probability that 5 African-Americans get promotions.

c) We have to calculate the probabilities for X=0,1,2,3,4 and 5.

$P(X\leq5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\\\P(X=0)=\frac{40!}{0!40!}*0.2^0*0.8^{40}=1*1*0.00013=0\\\\P(X=1)=\frac{40!}{1!39!}*0.2^1*0.8^{39}=40*0.2*0.00017=0.001\\\\P(X=2)=\frac{40!}{2!38!}*0.2^2*0.8^{38}=780*0.04*0.00021=0.007\\\\P(X=3)=\frac{40!}{3!37!}*0.2^3*0.8^{37}=9880*0.008*0.00026=0.021\\\\P(X=4)=\frac{40!}{4!36!}*0.2^4*0.8^{36}=91390*0.0016*0.00032=0.047\\\\P(X=5)=\frac{40!}{5!35!}*0.2^5*0.8^{35}=658008*0.00032*0.00041=0.086$

$P(X\leq5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\P(X\leq5)=0+0.001+0.007+0.021+0.047+0.086=0.162$

There is a 16.2% probability that at five or less African-Americans get promotions.

d) The company may be accused of racial discrimination because the ammount of promotions given to African-Americans is much less than expected if there were no discrimination. The expected value, if there is no discrimination, of having more than 5 promotions for African American employees is 84%.

3 0

4 years ago

The stock of Cleaner Homes is currently selling for $15.40 a share. The new rights offering grants one right for each share of s

Kaylis [27]

Answer:

$0.60

Explanation:

Calculation for the value of one right

The first step is to calculate for the cost per share.

Using this formula

Cost per share =[New share price+(New Share right*Stock price)]/ (One right +New Share right)

Let plug in the formula

Cost per share [$13 + (3 × $15.40)] / (1 + 3)

Cost per share =$13+$46.20/4

Cost per share =$59.20/4

Cost per share = $14.80

The second step is to calculate for the Value of right.

Using this formula

Value of right=New share price-Cost per share

Let plug in the formula

Value of right = $15.40 - 14.80

Value of right= $0.60

Therefore the value of one right will be $0.60

5 0

4 years ago

Xion Co. budgets a selling price of $80 per unit, variable costs of $35 per unit, and total fixed costs of $271,000. During June

natka813 [3]

Answer:

Income 219,500 256,000 36,500 Favourable

Explanation:

Flexible Budget report showing variances between budgeted and actual results.

Flexible Actual Variance

Sales 872,000 894,000 22,000 Favourable

Variable expenses 381,500 352,000 29,500 Unfavorable

Contribution margin 490,500 542,000 51,500 Favourable

Fixed expenses 271,000 286,000 15000 Unfavorable

Income 219,500 256,000 36,500 Favourable

Sales $80×$10,900=$872,000

Variable $35×$10,900=$381,500

7 0

3 years ago

Steaks n’ Fries Restaurant Company’s decision makers view a particular risk in the consumption of Steaks n’ Fries’ products as o

sasho [114]

Answer:

The correct option is D, outcome-based ethics.

Explanation:

Duty-based ethics preaches the idea that one should be seen doing the right thing at all times regardless of the consequences of one's actions, it is unlike the utilitarian approach to ethics where what is wrong or right is a function of having the greatest good for the greatest number of people not minding whether the approach used is wrong or right.

Corporate social responsibility involves the additional efforts put in by corporations in a bid to give back to society.

Religious ethical principles is about concluding on right or wrong using the lenses of religion.

Outcome-based ethics is a sharp contrast to duty-based ethics, as the outcome or consequence is what justifies the moral right or wrong. in other words the end justifies the means.

8 0

3 years ago

Helio Company has two products: A and B. The annual production and sales of Product A is 1,850 units and of Product B is 1,250 u

iren2701 [21]

Answer:

Estimated manufacturing overhead rate= $77 per direct labor hour

Explanation:

Giving the following information:

Production:

Product A: 1,850 units

Product B: 1,250

Hours required:

Product A: requires 0.3 direct labor-hours per unit

Product B: requires 0.6 direct labor-hours per unit.

The total estimated overhead for the next period is $100,485.

First, we need to calculate the total amount of direct labor hours required:

Total direct labor hours= 0.3*1,850 + 0.6*1,250= 1,305 hour

To calculate the estimated manufacturing overhead rate we need to use the following formula:

Estimated manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Estimated manufacturing overhead rate= 100,485/1,305= $77 per direct labor hour

4 0

3 years ago