In the accompanying​ table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability​ distribution, find its mean and standard deviation. LOADING... Click the icon to view the data. If the table is a probability​ distribution, what is its​ mean? Select the correct choice below and fill in any answer boxes within your choice. A. Its mean is nothing. ​(Round to the nearest tenth as​ needed.) B. The table is not a probability distribution. If the table is a probability​ distribution, what is its standard​ deviation? Select the correct choice below and fill in any answer boxes within your choice. A. Its standard deviation is nothing. ​(Round to the nearest tenth as​ needed.) B. The table is not a probability distribution.

Hanung Corp has two service departments, Maintenance and Personnel. Maintenance Department costs of $300,000 are allocated on the basis of budgeted maintenance-hours. Personnel Department costs of $100,000 are allocated based on the number of employees. The costs of operating departments A and B are $160,000 and $240,000, respectively. Data on budgeted maintenance-hours and number of employees are as follows:

4) Using the direct method, what amount of Maintenance Department costs will be allocated to Department B?

A) $96,000

*B) $100,000

C) $110,000

D) $122,000

5) Using the direct method, what amount of Personnel Department costs will be allocated to Department B? $75,000

6) Using the step-down method, what amount of Maintenance Department cost will be allocated to Department B if the service department with the highest percentage of interdepartmental support service is allocated first? (Round up)

A) $84,143

B) $69,231

C) $66,734

D) $71,443

7) Using the direct method, what amount of Maintenance Department costs will be allocated to Department A?

8) Using the direct method, what amount of Personnel Department costs will be allocated to Department A?

A) $25,000

B) $28,000

C) $30,000

D) $20,000

9) Using the step-down method, what amount of Maintenance Department cost will be allocated to Department A if the service department with the highest percentage of interdepartmental support service is allocated first? (Round up)

The parking authority in downtown Halifax reported the following information for a sample of 270 customers on the number of hours cars are parked and the amount they are charged:

a-1. Convert the information on the number of hours parked to a probability distribution. (Round the final answers to 3 decimal places.)

a-2. Is this a discrete or a continuous probability distribution?

(Click to select)DiscreteContinuous

b-1. Find the mean and the standard deviation of the number of hours parked. (Round the final answers to 3 decimal places.)

Mean           

Standard deviation           

b-2. How would you answer the question, how long is a typical customer parked? (Round the final answer to 3 decimal places.)

The typical customer is parked for hours.

c. Find the mean and standard deviation of the amount charged. (Round the final answers to 2 decimal places.)

Mean           

Standard deviation           

The parking authority in downtown Halifax reported the following information for a sample of 240 customers on the number of hours cars are parked and the amount they are charged: Number of Hours Frequency Amount Charged 1 23 $2 2 41 4 3 54 6 4 41 8 5 38 10 6 11 14 7 6 18 8 26 20 Total 240 a-1. Convert the information on the number of hours parked to a probability distribution. (Round the final answers to 3 decimal places.) Hours Probability 1 2 3 4 5 6 7 8 a-2. Is this a discrete or a continuous probability distribution? b-1. Find the mean and the standard deviation of the number of hours parked. (Round the final answers to 3 decimal places.) Mean Standard deviation b-2. How would you answer the question, how long is a typical customer parked? (Round the final answer to 3 decimal places.) The typical customer is parked for hours. c. Find the mean and standard deviation of the amount charged. (Round the final answers to 2 decimal places.) Mean Standard deviation

Use number 3 to solve for number 4

3.) The order data for Nano cars Inc. for the last 200 months is as follows: 40 months got 40 orders, 50 months got 60 orders, 35 months got 70 orders, 30 months got 105 orders, 25 months got 120 orders, and 20 months got 155 orders. (10 Points)

1. Show the probability distribution of number of ordersreceived by Nano cars Inc. per month in a table format.
2. Show the same probability distribution as a histogram
3. Calculate the mean, variance, and standard deviation of number of orders received by Nano cars Inc. per month.

4.     Suppose that it costs $50,000 per month to run the operations of the business in problem # 3 and that the selling price of the car is $25,000. Let Y represent a random variable that represents the monthly profit of the Auto Company. (10 points)

1. Express Y as a linear function of X.
2. Show the probability distribution of Y (in a table format)
3. Compute the mean, variance, and standard deviation of Y utilizing the formulas used in class when discussing the concept on “linear functions of a random variable.”

Shipments of television set arrive at a factory have varying levels of quality. In order to decide whether to accept a particular shipment, inspectors randomly select a sample of 10 television sets and test them; if no more than one television set in the sample is defective, the shipment is accepted. Suppose a very large shipment arrives in which 2% of the television sets are defective.

Let X be a random variable representing the number of defective television set in the random sample of 10.

1. Explain why X is a binomial random variable:

• Specify, in words, what is a trial in this scenario
• Identify n (the number of trials)
• Specify, in words, which outcome of trial would be defined as a “success”
• Explain why p (is the probability of success) is the same for every trial
• Identify p (the probability of success):

2. What is the probability that this shipment results will consider to be satisfactory? (Use a table or the formula).

3. What is the expected value of the number of defective television set in this sample?

4. Fill in the blanks in the following sentence:                                                                                According to the Law of Large Numbers, if we obtained many different simple random samples of size                      from this shipment, the average number of defective television set per sample would be approximately                       

Refer to the accompanying technology display. The probabilities in the display were obtained using the values of n equals 5 and p equals 0.759. In a clinical test of a​ drug, 75.9​% of the subjects treated with 10 mg of the drug experienced headaches. In each​ case, assume that 5 subjects are randomly selected and treated with 10 mg of the drug. Find the probability that more than one subject experiences headaches. Is it reasonable to expect that more than one subject will experience​ headaches?

0 0.0008

1. 0.0128

2. 0.0806

3. 0.2540

4. 0.3999

5. 0.2519

The probability that more than one subject experiences headaches is ________ ?

The probability that more than one subject experiences headaches is Is it reasonable to expect that more than one subject will experience headaches?

Yes: because the event that the number of subjects that experience headaches is less than or equal to one is not unlikely. No, because the event that the number of subjects that experience headaches is less than or equal to one is not unlikely. Yes: because the event that the number of subjects that experience headaches is less than or equal to one is unlikely. No, because the event that the number of subjects that experience headaches is less than or equal to one is unlikely.

Assume a 2²² byte memory:

a. What are the lowest and highest addresses if memory is byte-addressable?

b. What are the lowest and highest addresses if memory is word-addressable, assuming a 16-bit word?

c. What are the lowest and highest addresses if memory is word-addressable, assuming a 32-bit word?

Explain with Steps please

Problem Set I

1) Rick’s Toy Store faces the following probability distribution of fire losses in its store over the next year:

Calculate the expected value and standard deviation of Rick’s losses for the year.

Assume that Rick pools his losses with Mark’s store, which has an identical loss distribution. Mark’s losses are independent of Rick’s. Rick and Mark agree to split the total losses in the pool equally. Show the revised probability distribution for the mean loss from the pool.

Calculate the expected value and standard deviation of the pooled mean losses

2) Maria is analyzing the workers’ compensation (WC) losses of the employees in the firm that occurred over a one-year period, based on the following data:

Use the information in the table to find the average frequency of losses per worker.

Use the information in the table to estimate a probability distribution for the frequency distribution of losses per worker in a year.

3) You are given the following table:

Use the information in the table to find the average severity per claim

Use the information in the table to estimate a probability distribution for the loss severity per claim.

Using your answers from question 3, part (a) and question 2, part( b), use convolution to find the average loss.