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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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The interest payable is calculated based on the principal, interest rate, number of years of the loan or of the deposit.

Explanation:

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3 0
3 years ago
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<h3>What is  financial manager?</h3>

Financial managers are in charge of an organization's financial health. They create financial reports, direct investment activities, and plan for their organization's long-term financial goals.

A financial manager is in charge of maintaining the proper balance of equity and debt. Funding allocation: The next step is to allocate the funds after they have been raised. The best way to allocate funds: the size of the organizations and their ability to grow.

The finance function serves two primary functions: it provides the financial information that other business functions require to function effectively and efficiently. to assist with business planning and decision making

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Assume again that the cost of capital is 7 percent and the effective tax rate is 40 percent. How would the payback, internal rat
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3 years ago
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