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Bingel [31]
3 years ago
5

A manuscript is sent to a typing firm consisting of typists A, B and C. If it is typed by A, then the number of errors made is a

Poisson random variable with mean 2.6; if typed by B then the number of errors made is a Poisson random variable with mean 3; and if typed by C then it is a Poisson random variable with mean 3.4. Let X denote the number of errors in the manuscript. Assume that each typist is equally likely to do the work. (a) Find E(X) (b) Find Var(X)
Business
1 answer:
spin [16.1K]3 years ago
8 0

Answer:

(a) E(X) = 3

(b) Var(X) = 12.1067

Explanation:

(a) E[X]

E[X]T = E[X]T=A + E[X]T=B + E[X]T=C

         = (2.6 + 3 + 3.4)/3

         = 2.6 (1/3) + 3(1/3) + 3.4(1/3)

         = 2.6/3 + 1 + 3.4/3

         = 3

(b) Var (X) = E[X²]−(E[X])²

Recall that if Y ∼ Pois(λ), then E[Y 2] = λ+λ2. This implies that

E[X²] = [(2.6 + 2.6²) + (3 + 3²) + (3.4 + 3.4²)]/3

         = (9.36 + 12 + 14.96)/3

         = 36.32/3

         = 12.1067

Var(X) = E[X²]−(E[X])²

          = 12 - 3²

          = 12.1067 - 9

          = 3.1067

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Debra's manager publicly reprimanded her in the department meeting. during the manager's 10 minute rant, debra sat quietly. afte
pantera1 [17]

Answer:

Tend and befriend strategy

Explanation:

The tend and befriend strategy involves a person reacting to a situation by seeking for support from others (befriend) or supporting others (tend).

In this scenario Debra's manager publicly reprimanded her in the department meeting.

She did not react immediately but rather sought the support of her friend. She complained for two hours with her best friend to relieve the stress.

This is an example of tend and befriend reaction to stress.

6 0
2 years ago
You invest $600 in security A with a beta of 1.5 and $400 in security B with a beta of 0.90. The beta of this portfolio is _____
klio [65]

Answer:

Beta= 1.26

Explanation:

<u>First, we will calculate the proportion of the portfolio of each security:</u>

Security A= 600/1,000= 0.6

Security B= 400/1,000= 0.4

<u>Now, the beta of the portfolio:</u>

Beta= (proportion of investment A*beta A) + (proportion of investment B*beta B)

Beta= (0.6*1.5) + (0.4*0.9)

Beta= 1.26

7 0
3 years ago
The firm's tax rate is 34 percent. The firm's pre-tax cost of debt is 8 percent; the firm's debt-to-equity ratio is 3; the risk-
MAVERICK [17]

Answer:

WACC = 0.08085  or  8.085% rounded off to 8.09%

Option c is the correct answer.

Explanation:

The WACC or weighted average cost of capital is the cost of a firm's capital structure that can contain one or more of the following components, namely debt, preferred stock and common equity. The formula to calculate the WACC is as follows,

WACC = wD * rD * (1-tax rate)  +  wP * rP  +  wE * rE

Where,

  • w represents the weight of each component
  • D, P and E represents debt, preferred stock and common equity respectively
  • r represents the cost of each component

We first need to calculate the weight of each stock. We know the basic accounting equation is,

Assets = Debt + Equity

We know the debt to equity ratio is 3. Then total assets will be,

Assets = 3 + 1

Assets = 4

Using the CAPM equation, we can calculate the cost of equity.

r = risk free rate  +  Beta  *  Market risk premium

r = 0.03  +  1.5  *  0.09

r = 0.165  or  16.5%

WACC = 3/4  *  0.08  *  (1 - 0.34)  +  1/4  *  0.165

WACC = 0.08085  or  8.085% rounded off to 8.09%

4 0
2 years ago
What is the single most important factor in determining the success or failure
kumpel [21]
The answer is Communication
4 0
3 years ago
What do you think would be the implication of these personalities in the interpersonal relationships and task performance of emp
prisoha [69]

Explanation:

In working environment interpersonal relationship plays a paramount role in developing and stimulating

Trust and positive feelings and images among workers. This can be result in higher performance

and satisfaction of employees.

4 0
1 year ago
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