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kolezko [41]
3 years ago
13

Assuming a 24 hour operation in a warehouse, and an arrival following Poisson distribution with mean rate of 36 per day and serv

ice (unloading using a single bay) following exponential distribution with a rate of 48 trucks per day, answer the following question. What is the expected waiting time in the system (in hours) for a typical truck?
Business
1 answer:
vova2212 [387]3 years ago
7 0

Answer:

The expected value is equal to 0.176

Explanation:

mean = 36

rate per day = 48

P(x; 48)= e⁻⁴⁸( 48)³⁶/36!

E(X)= 1.425 e⁻²¹ 3.347 e⁶⁰/3.72e⁴¹

E(X)= 1.425 *3.347*e⁻²/3.72

E(X)= 1.3e⁻²= 0.1759= 0.176

The probability that an event occurs in a very short time interval is proportional to the length of the interval which is a positive quantity and may be interpreted as the average number of occurrences per unit of time.

The probability that two or more events occur in such a short interval is so small that it can be neglected.

events occurring in non overlapping intervals of time are statistically independent .

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mars1129 [50]

Answer

The answer and procedures of the exercise are attached in the following archives.

Explanation  

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.  

5 0
3 years ago
​Belstone, Inc. is a merchandiser of stone ornaments. It sold​ 15,000 units during the year. The company has provided the follow
Georgia [21]

Answer: $200,100

Explanation:

Given that,

Units sold = 15,000

Sales Revenue = $510,000

Purchases​ (excluding Freight​ In) = $310,500

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Freight In = $15,900

Beginning Merchandise Inventory = $42,500

Ending Merchandise Inventory = $59,000

Cost of goods sold = Beginning Merchandise Inventory + Purchases​ + Freight In - Ending Merchandise Inventory

                                = $42,500 + $310,500 + $15,900 - $59,000

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Gross Profit = Sales Revenue - Cost of goods sold

                    = $510,000 - $309,900

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8 0
3 years ago
An initial decreasedecrease in a​ bank's reserves will decreasedecrease checkable deposits A. by an amount less than the decreas
svlad2 [7]

Answer:

The correct answer is B

Explanation:

Bank reserve is the minimum cash which is required to kept on hand through the financial institutions so that could meet the requirements of central bank.

Checkable deposits is a kind of any demand deposit account in anticipation of the checks or the drafts in any form which will be written. In short, it means that the owner of the account could withdraw funds on demand.

So, if the primary decrease in bank reserve will also decrease the checkable deposit as there would be no cash with bank to provide to customers by the amount that is greater than the decrease in the reserve.

8 0
3 years ago
What do investors use the income statements of organizations for?
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Answer:

Investors use income statements to determine the profitability of a company over time. ... This is the amount that a company would pay shareholders, per share, if the company paid out all of its net income as dividends.

Explanation:

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3 years ago
An automobile dealer sells service contracts. The contracts stipulate that the dealer will perform specific repairs on covered v
stiv31 [10]

Answer:

a. yes no

Explanation:

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3 years ago
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