USA Today reported that approximately 25% of all state prison inmates released on parole become repeat offenders while on parole. Suppose the parole board is examining five prisoners up for parole. Let x = number of prisoners out of five on parole who become repeat offenders.
| x | 0 | 1 | 2 | 3 | 4 | 5 |
| P(x) | 0.200 | 0.376 | 0.230 | 0.152 | 0.041 | 0.001 |
(a) Find the probability that one or more of the five parolees
will be repeat offenders. (Round your answer to three decimal
places.)
How does this number relate to the probability that none of the
parolees will be repeat offenders?
These probabilities are not related to each other.This is twice the probability of no repeat offenders. This is five times the probability of no repeat offenders.These probabilities are the same.This is the complement of the probability of no repeat offenders.
(b) Find the probability that two or more of the five parolees will
be repeat offenders. (Round your answer to three decimal
places.)
(c) Find the probability that four or more of the five parolees
will be repeat offenders. (Round your answer to three decimal
places.)
(d) Compute μ, the expected number of repeat offenders out
of five. (Round your answer to three decimal places.)
μ = prisoners
(e) Compute σ, the standard deviation of the number of
repeat offenders out of five. (Round your answer to two decimal
places.)
σ = prisoners
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2034 raffle tickets at $5 per ticket.
(a) Kevin bought nineteen tickets. What is the probability that
Kevin will win the spring break cruise to the Caribbean? (Round
your answer to five decimal places.)
What is the probability that Kevin will not win the cruise? (Round
your answer to five decimal places.)
(b) Expected earnings can be found by multiplying the value of the
cruise by the probability that Kevin will win. What are Kevin's
expected earnings? (Round your answer to two decimal places.)
$
Is this more or less than the amount Kevin paid for the nineteen
tickets?
---Select--- more less
How much did Kevin effectively contribute to the Samaritan Center
for the Homeless? (Round your answer to two decimal places.)
$
In: Statistics and Probability
Sailing Voyages Inc. is a company operated by an individual as a summer tourist attraction on the Great Lakes. It operates a sailing schooner offering day cruises for individuals and groups. Over the last few years, the average number of tourists per cruise was 30. The average charge per person for the cruise including group discounts was $100. The company operates from mid-May until mid-September. On average, the ship sails 100 days during this period. ‘The Canadian’ (the name of the schooner) requires a crew of 6, and is captained by the owner of the company. University students with extensive sailing experience have been willing to work on a per diem basis of $100. They are paid only if the ship is cruising. The ship provides non-alcoholic refreshments and a light lunch. These are acquired daily from a local delicatessen and cost, on average, $25 per person. The daily operating expenses fuel and miscellaneous supplies average $50 per cruise. The company has a variety of annual expenses including: maintenance, depreciation, marketing, licenses, etc., totaling approximately $85,000. Required: Prepare an Excel Workbook to answer the following questions in a professional manner. Ensure that you are utilizing Excel features (including links between spreadsheets, formulas, formatting, graphing).
1. Compute the revenue and variable costs for each cruise. Use this to compute the contribution margin per cruise.
2. Compute the number of cruises that ‘Canadian’ must have each year to break-even. Use your knowledge gained in this course to show the different formulas, graphs etc for break-even analysis.
3. The owner expects a total return on capital and remuneration of $125,000. Using the concept of ‘contribution margin’, cost-volume-profit, and target profit calculations, estimate how many cruises the Canadian needs to make to reach this objective. Is this a realistic expectation? Add your thoughts, proposals, and recommendations.
4. Prepare a contribution margin income statement for Sailing Voyages Inc. If the owner wishes to adjust or achieve his income goal, what changes can he make? How can these changes be easily estimated and projected to show how these changes affect net income. Use your imagination, and your knowledge of cost-volume-profit analysis. Highlight your ideas by utilizing the various graphing tools in Excel.
In: Accounting
C++ Program
--------------------
Project 5-1: Monthly Sales
Create a program that reads the sales for 12 months from a file and calculates the total yearly sales as well as the average monthly sales.
Console
Monthly Sales
COMMAND MENU
m - View monthly sales
y - View yearly summary
x - Exit program
Command: m
MONTHLY SALES
Jan 14317.41
Feb 3903.32
Mar 1073.01
Apr 3463.28
May 2429.52
Jun 4324.70
Jul 9762.31
Aug 25578.39
Sep 2437.95
Oct 6735.63
Nov 288.11
Dec 2497.49
Command: y
YEARLY SUMMARY
Yearly total: 76811.12
Monthly average: 6400.93
Command: x
Bye!
Specifications
Note for Xcode users
Text file
-----------------------
Jan 14317.41
Feb 3903.32
Mar 1073.01
Apr 3463.28
May 2429.52
Jun 4324.70
Jul 9762.31
Aug 25578.39
Sep 2437.95
Oct 6735.63
Nov 288.11
Dec 2497.49
In: Computer Science
A magazine is considering the launch of an online edition. The magazine plans to go ahead only if it is convinced that more than 20% of current readers would subscribe. The magazine contacted a simple random sample of 400 current subscribers, and 90 of those surveyed expressed interest. What should the company do? Test appropriate hypotheses and state your conclusion.
Are the assumptions and the conditions to perform a one-proportion z-test met? Yes No
State the null and alternative hypotheses. Choose the correct answer below.
A. H0: pequals0.2 HA: pgreater than0.2
B. H0: pequals0.2 HA: pless than0.2
C. H0: pequals0.2 HA: pnot equals0.2
D. The assumptions and conditions are not met, so the test cannot proceed.
Determine the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. zequals nothing (Round to two decimal places as needed.)
B. The assumptions and conditions are not met, so the test cannot proceed.
Find the P-value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. P-valueequals nothing (Round to four decimal places as needed.)
B. The assumptions and conditions are not met, so the test cannot proceed.
What is your conclusion? Choose the correct answer below.
A. Since the P-value was low, reject H0.
B. Since the P-value was high, fail to reject H0.
C. The assumptions and conditions are not met, so the test cannot proceed.
What should the company do? Choose the correct answer below.
A) The survey results would not be useful if less than 20% of the current readers were interested. The company should bot launch the online edition.
B) The survey results would be highly unusual if less than 20% of the current readers were interested. The company should not launch the online edition.
C) The survey results would not be unusual if less than %20 of the current readers were interested. The company should launch the online edition.
D) The assumptions and conditions are not met, so the test is not valid.
In: Statistics and Probability
A magazine is considering the launch of an online edition. The magazine plans to go ahead only if it is convinced that more than 20% of current readers would subscribe. The magazine contacted a simple random sample of 400 current subscribers, and 102 of those surveyed expressed interest. What should the company do? Test appropriate hypotheses and state your conclusion.
Are the assumptions and the conditions to perform a one-proportion z-test met?
Yes or No
State the null and alternative hypotheses. Choose the correct answer below.
A. H0: p equals=0.20.2
HA: p not equals≠0.20.2
B. H0:p equals=0.20.2
HA:p less than<0.20.2
C. H0:p equals=0.20.2
HA: p greater than>0.20.2
D.The assumptions and conditions are not met, so the test cannot proceed.
Determine the z-test statistic. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. z equals=nothing
(Round to two decimal places as needed.)
B. The assumptions and conditions are not met, so the test cannot proceed.
Find the P-value. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. P-value equals=nothing
(Round to four decimal places as needed.)
B. The assumptions and conditions are not met, so the test cannot proceed.
In: Math
2. The Precision Door Company sold 2,200 doors during 2018 at $160 per door. Its beginning inventory on January 1 was 130 doors at $56. Purchases made during the year were as follows:
February 225 doors at $62
April 350 doors at $65
June 700 doors at $70
August 300 doors at $66
October 400 doors at $68
November 250 doors at $72
Compute the COGS and Ending Inventory under each of the following inventory cost flow assumptions: (a) Simple Weighted Average, (b) FIFO, (c) LIFO.
In: Accounting
The Finishing Department of Pinnacle Manufacturing Co. prepared
the following factory overhead cost budget for October of the
current year, during which it expected to operate at a 100%
capacity of 10,000 machine hours.
| Variable costs: | ||
| Indirect factory wages | $18,000 | |
| Power and light | 12,000 | |
| Indirect materials | 4,000 | |
| Total variable cost | $34,000 | |
| Fixed costs: | ||
| Supervisory salaries | $12,000 | |
| Depreciation of plant and equipment | 8,800 | |
| Insurance and property taxes | 3,200 | |
| Total fixed cost | 24,000 | |
| Total factory overhead | $58,000 |
During October, the plant was operated for 9,000 machine hours and the factory overhead costs incurred were as follows: indirect factory wages, $16,400; power and light, $10,000; indirect materials, $3,000; supervisory salaries, $12,000; depreciation of plant and equipment, $8,800; and insurance and property taxes, $3,200.
Prepare a factory overhead cost variance report for October. (The budgeted amounts for actual amount produced should be based on 9,000 machine hours.)
Enter favorable variances as negative numbers.
| Pinnacle Manufacturing Co.-Finishing
Department Factory Overhead Cost Variance Report For the Month Ending October 31 |
||||
| Productive capacity for the month (100% of normal) | hours | |||
| Actual production for the month | hours | |||
| Actual Cost |
Budget (at Actual Production) |
Variances | ||
| Unfavorable | (Favorable) | |||
| Variable factory overhead costs: | ||||
| Indirect factory wages | $ | $ | $ | |
| Power and light | $ | |||
| Indirect materials | ||||
| Total variable factory overhead cost | $ | $ | ||
| Cost Information | ||||
| Fixed factory overhead costs: | ||||
| Supervisory salaries | $ | $ | ||
| Depreciation of plant and equipment | ||||
| Insurance and property taxes | ||||
| Total fixed factory overhead cost | $ | $ | ||
| Total factory overhead cost | $ | $ | ||
| Total controllable variances | $ | $ | ||
| Net controllable variance-favorable | $ | |||
| Volume variance-unfavorable: | ||||
| Capacity not used at the standard rate for fixed factory overhead |
||||
| Total factory overhead cost variance-unfavorable | $ | |||
In: Accounting
Required information [The following information applies to the questions displayed below.] On October 29, Lobo Co. began operations by purchasing razors for resale. The razors have a 90-day warranty. When a razor is returned, the company discards it and mails a new one from Merchandise Inventory to the customer. The company's cost per new razor is $14 and its retail selling price is $60. The company expects warranty costs to equal 8% of dollar sales. The following transactions occurred. Nov. 11 Sold 70 razors for $4,200 cash. 30 Recognized warranty expense related to November sales with an adjusting entry. Dec. 9 Replaced 14 razors that were returned under the warranty. 16 Sold 210 razors for $12,600 cash. 29 Replaced 28 razors that were returned under the warranty. 31 Recognized warranty expense related to December sales with an adjusting entry. Jan. 5 Sold 140 razors for $8,400 cash. 17 Replaced 33 razors that were returned under the warranty. 31 Recognized warranty expense related to January sales with an adjusting entry. 1. Prepare journal entries to record above transactions and adjustments.
Record the sales revenue of 70 razors for $4,200 cash.
Record the cost of goods sold for 70 razors.
Record the estimated warranty expense at 8% of November sales.
Record the replacement of 14 razors that were returned under the warranty.
Record the sales revenue of 210 razors for $12,600 cash.
Record the cost of goods sold for 210 razors.
Record the replacement of 28 razors that were returned under the warranty.
Record the estimated warranty expense at 8% of December sales.
Record the sales revenue of 140 razors for $8,400 cash.
Record the cost of goods sold for 140 razors.
Record the replacement of 33 razors that were returned under the warranty.
Record the adjusting entry for warranty expense for the month of January.
In: Accounting
On October 29, 2014, Lobo Co. began operations by purchasing razors for resale. Lobo uses the perpetual inventory method. The razors have a 90-day warranty that requires the company to replace any nonworking razor. When a razor is returned, the company discards it and mails a new one from Merchandise Inventory to the customer. The company’s cost per new razor is $20 and its retail selling price is $75 in both 2014 and 2015. The manufacturer has advised the company to expect warranty costs to equal 8% of dollar sales. The following transactions and events occurred. 2014 Nov. 11 Sold 105 razors for $7,875 cash. 30 Recognized warranty expense related to November sales with an adjusting entry. Dec. 9 Replaced 15 razors that were returned under the warranty. 16 Sold 220 razors for $16,500 cash. 29 Replaced 30 razors that were returned under the warranty. 31 Recognized warranty expense related to December sales with an adjusting entry. 2015 Jan. 5 Sold 150 razors for $11,250 cash. 17 Replaced 50 razors that were returned under the warranty. 31 Recognized warranty expense related to January sales with an adjusting entry. 1.1 Prepare journal entries to record above transactions and adjustments for 2014.
In: Accounting
On October 1, 2018, Bullseye Company sold 250,000 gallons of diesel fuel to Schmidt Co. at $3 per gallon. On November 8, 2018, 150,000 gallons were delivered; on December 27, 2018. Another 50,000 gallons were delivered; and on January 15, 2019, the remaining 50,000 gallons were delivered. Payment terms are 10% due on October 1, 2018, 50% due on first Delivery; 20% due on the next delivery; and the remaining 20% due on final delivery.
1. Do each of the three deliveries represent a distinct performance obligation, or is there a single performance obligation requiring three deliveries?
2. What amount of revenue should bullseye recognize from this sale during 2018?
In: Accounting