The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.
1. What is the expected number of admissions for the fall semester?
Expected number of admissions
2. Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
The Internal Revenue Service is studying the category of charitable contributions. A sample of 34 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 34 returns, 8 had charitable contributions of more than $1,000. Suppose 7 of these returns are selected for a comprehensive audit.
a You should use the hypergeometric distribution is appropriate. Because
b. What is the probability exactly one of the seven audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.)
c. What is the probability at least one of the audited returns had a charitable contribution of more than $1,000? (Round your answer to 4 decimal places.)
According to the “January theory,” if the stock market is up for the month of January, it will be up for the year. If it is down in January, it will be down for the year. According to an article in The Wall Street Journal, this theory held for 23 out of the last 34 years. Suppose there is no truth to this theory; that is, the probability it is either up or down is 0.5.
What is the probability this could occur by chance? (Round your answer to 6 decimal places.)
Customers experiencing technical difficulty with their internet cable hookup may call an 800 number for technical support. It takes the technician between 150 seconds and 13 minutes to resolve the problem. The distribution of this support time follows the uniform distribution.
a. What are the values for a and b in minutes? (Do not round your intermediate calculations. Round your answers to 1 decimal place.)
b-1. What is the mean time to resolve the problem? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)
b-2. What is the standard deviation of the time? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)
c. What percent of the problems take more than 5 minutes to resolve? (Do not round your intermediate calculations. Round your answer to 2 decimal places.)
d. Suppose we wish to find the middle 50% of the problem-solving times. What are the end points of these two times? (Do not round your intermediate calculations. Round your answers to 3 decimal places.)
End point 1
End point 2
A normal population has a mean of 21 and a standard deviation of 6.
a. Compute the z value associated with 24. (Round your answer to 2 decimal places.)
b. What proportion of the population is between 21 and 24? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
c. What proportion of the population is less than 17? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $5,870 per hour and a standard deviation of $417.
What is the operating cost for the lowest 5% of the airplanes? (Round z value to 2 decimal places and round final answer to nearest whole dollar.)
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,450. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 570 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last.
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time? (Round z value to 2 decimal places. Round your answer to the nearest whole number.)
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.80 minutes and the standard deviation was 0.70 minutes.
a. What fraction of the calls last between 3.80 and 4.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
b. What fraction of the calls last more than 4.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
c. What fraction of the calls last between 4.50 and 5.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
d. What fraction of the calls last between 3.50 and 5.50 minutes? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)
Fraction of calls
e. As part of her report to the president, the director of communications would like to report the length of the longest (in duration) 6 percent of the calls. What is this time? (Round z-score computation to 2 decimal places and your final answer to 2 decimal places.)
A student is taking two courses, history and math. The probability the student will pass the history course is .54, and the probability of passing the math course is .72. The probability of passing both is .40.
What is the probability of passing at least one? (Round your answer to 2 decimal places.)
All Seasons Plumbing has two service trucks that frequently need repair. If the probability the first truck is available is .80, the probability the second truck is available is .50, and the probability that both trucks are available is .40:
What is the probability neither truck is available? (Round your answer to 2 decimal places.)
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Custom Writings Help is a Quality-Oriented Company in Online Writing as a result of hiring exceptional professionals to execute clients' tasks.
At Custom Writings Help,We understand the struggle of research paper writing, and that is why at Custom WritingS Help, we are all out to help you. We pride ourselves on having a team of clinical writers. The stringent and rigorous vetting process ensures that only the 'BEST' Writers are chosen for the job. We have highly qualified Ph.D. and MA writers working with us; we equally offer these experienced writers specific bonuses and incentives to make them deliver highly original, unique, and informative content at reasonably low prices.
Thesis Writing Service
Worlwide, Many Masters Students are struggling with Thesis Completion. A thesis is likely to be the longest and most challenging piece of work a student has ever completed. However, unlike essays and other assignments, a student can pick a particular interest topic and work on their initiative. Fortunately, we are there for you. At Custom Writings Help, you are assured of an authentic, imaginative, informative, linguistically great, and advantageous thesis that adheres to all your needs. So, why continue considering different writers when you have discovered the best in the field?
Not a single student can avoid writing custom papers. However, a total lack of experience, skills, and time makes it very hard to produce a superb writing piece. Therefore, if you are seeking professional help, turn to us. Our specialized and experienced writers compose a variety of model papers, including custom essays, college term papers, research papers, book reports, MBA essays, executive summaries, dissertations, Ph.D. theses, admission essays, and research proposals for college and university students at any level.
Most of the students disregard the critical principles of essay writing and compose papers below sensible guidelines. Therefore, with Custom Writings Help, one should not worry about his/her essay. Our Writers compose informative and engaging content on all complexities and topics. We write meaningful and smart essays while prioritizing all aspects that bring about a good grade, such as impeccable grammar, proper structure, zero-plagiarism, and conformance to guidelines.
Coourse Work Writing
Don't let the seemingly never-ending onslaught of writing assignments get you down. If you are looking where to get course work assistance online, the writers at Custom Writings Help are here to assist you with all of your writing needs. We undertake to unique delivery of papers that meet the professor's requirements. The content is proofread, edited, and checked plagiarism before submission to customers. No matter how big or small your work is, we will deliver on time. Try US Now! !
Dissertation Writing Service
High-Quality Dissertation Writing Services are rare. They require Ph.D. academicians – not easily found. However, are an exception. The years, time, and resources we have invested in the dissertation world has given us a competitive advantage over others. Choose to come to Custom Writings Help; You will find perfect Ph.D. consultants who have written hundreds of dissertations theses ready to help you. Let our dissertation-writing services help you craft your dissertation, for you are assured we will give you the results.