In a production facility, items are produced at a rate of 5 per hour, where the time to produce one item is exponentially distributed. The facility can hold at most 5 items in its inventory due to capacity limitations. Demands arrive according to a Poisson process with a rate of 3 per hour. The production will stop if the inventory is in full capacity. If there is no item in the inventory, the customer will go away empty handed.

(a). Formulate the problem as a birth-and-death process, i.e., denote the states, transition

rates, and limiting probabilities (if they exist?)

(b). What is the probability that an arriving customer goes away empty handed?

(c). What fraction of the time the production is stopped?

(d). Consider a holding cost of $2i if there are i items in the inventory, $6 for the cost of lost

demand, and $7 as the cost of production interruption. What is the expected total cost

of the system?

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In a reaction between pure acetic acid and sodium bicarbonate, 11.4 grams of sodium bicarbonate was added to 24 mL of acetic acid. Which reactant is the limiting reactant in this reaction?Name of limiting reactant (acetic acid or sodium bicarbonate): How many moles of the limiting reactant are present in this reaction?Moles of limiting reactant = molHow many moles of carbon dioxide do you expect to be produced?Moles of carbon dioxide = mol CO2If the temperature in the laboratory is 21.6oC and the atmospheric pressure is 1 atm, what volume would be occupied by the carbon dioxide produced in this reaction (in cm3)?Volume of carbon dioxide = cm3What would be the circumference of a spherical balloon containing this amount of carbon dioxide gas?Circumference of balloon = cm

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Please can you help me with this! I just want to check my answer.

. In a randomized clinical trial to determine the most effective timing of theadministration of chemotherapeutic drugs to lung cancer patients, 26 patients weregiven four drugs simultaneously, while 15 patients were given the same four drugssequentially. Objective response to the treatment (defined as the shrinkage of thetumor by at least 50%) was observed in 16 of the patients treated simultaneously andin 4 of the patients treated sequentially. a. Carry out the appropriate test to determine if there is a difference in effectivenessbetween the two different treatments. Include all steps for full credit. (6pt) b. Quantify the difference in effectiveness of the two treatments with the appropriatemeasure and interpret it in the context of the problem. (2pt)

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In a random sample of 50 ​refrigerators, the mean repair cost was

​$146.00

and the population standard deviation is ​$17.80

.

Construct a 90​% confidence interval for the population mean repair cost. Interpret the results.

Construct a 90% confidence interval for the population mean repair cost.

The 90​% confidence interval is ( ? , ? )

​(Round to two decimal places as​ needed.)

I

nterpret you results. Choose the correct answer below.

A.With 90​% ​confidence, it can be said that the confidence interval contains the true mean repair cost.

B.With 90​% ​confidence, it can be said that the confidence interval contains the sample mean repair cost.

C.The confidence interval contains 90% of the mean repair costs.

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In a random sample of ​refrigerators, the mean repair cost was ​$and the population standard deviation is ​$. Construct a ​% confidence interval for the population mean repair cost. Interpret the results. Construct a % confidence interval for the population mean repair cost.

The % confidence interval is ?, ?

Interpret you results. Choose the correct answer below.

A.With % confidence, it can be said that the confidence interval contains the true mean repair cost.

B.The confidence interval contains % of the mean repair costs.

C.With % confidence, it can be said that the confidence interval contains the sample mean repair cost.

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