Normal Probability and Standard Deviation Question
Order ID 53563633773 Type Essay Writer Level Masters Style APA Sources/References 4 Perfect Number of Pages to Order 5-10 Pages
The customer service center in a large New York department store has determined that the amount of time spent with a customer about a complaint follows a normal distribution, with a mean of 9.3 minutes and a standard deviation of 2.5 minutes.
Let X = amount of time spent with a customer about a complaint (in minutes).
a) ? =
b) ? =
c) What is the standard score (or z-score) for x = 4.3 minutes? Answer: z =
d) What is the standard score (or z-score) for x = 14.3 minutes? Answer: z =
e) Based on the empirical rule, approximately what percent of customers spent between 4.3 minutes and 14.3 minutes with the customer service center regarding a complaint?
Let X represent the cost of a Smart LED TV. Which probability expression represents the following statement?
The probability that a Smart LED TV costs no more than $350
Can two events that are mutually exclusive occur at the same time?
47% of an insurance agent’s clients have life insurance, 42% have auto insurance, and 21% have both policies. What is the probability that a randomly selected client has life insurance or auto insurance?
(Write the probability answer as an exact decimal.)
A box contains ten balls, numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
If you randomly select one ball, do not replace it in the box, and then, select a second ball, what is the probability that both balls are odd?
A box contains ten balls, numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
Write each answer as a decimal.
If you randomly select one ball, find the probability that the number is:
a) an odd number
b) at least 6.
c) less than 10.
d) not 3.
e) less than 4 or a multiple of 3.
In a batch of 140 calculators, 3 are found to be defective. Estimate the probability that a randomly selected calculator is not defective.
(Write the answer as a decimal rounded to the nearest hundredth.)
The mean time taken to learn the basics of a word processor by a group of students is 200 minutes with a standard deviation of 20 minutes. According to Chebyshev’s Theorem, what is the minimum probability that a randomly selected student took between 140 and 260 minutes to learn the basics of the word processor?
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Elements of the required response may also be lacking. 40 points out of 50: The essay illustrates solid understanding of the relevant material by correctly addressing most of the relevant content; identifying and explaining most of the key concepts/ideas; using correct terminology; explaining the reasoning behind most of the key points/claims; and/or where necessary or useful, substantiating some points with accurate examples. The answer is complete. 50 points: The essay illustrates exemplary understanding of the relevant material by thoroughly and correctly addressing the relevant content; identifying and explaining all of the key concepts/ideas; using correct terminology explaining the reasoning behind key points/claims and substantiating, as necessary/useful, points with several accurate and illuminating examples. No aspects of the required answer are missing. Use of Sources (worth a maximum of 20% of the total points). Zero points: Student failed to include citations and/or references. Or the student failed to submit a final paper. 5 out 20 points: Sources are seldom cited to support statements and/or format of citations are not recognizable as APA 6th Edition format. There are major errors in the formation of the references and citations. And/or there is a major reliance on highly questionable. The Student fails to provide an adequate synthesis of research collected for the paper. 10 out 20 points: References to scholarly sources are occasionally given; many statements seem unsubstantiated. Frequent errors in APA 6th Edition format, leaving the reader confused about the source of the information. There are significant errors of the formation in the references and citations. And/or there is a significant use of highly questionable sources. 15 out 20 points: Credible Scholarly sources are used effectively support claims and are, for the most part, clear and fairly represented. APA 6th Edition is used with only a few minor errors. There are minor errors in reference and/or citations. And/or there is some use of questionable sources. 20 points: Credible scholarly sources are used to give compelling evidence to support claims and are clearly and fairly represented. APA 6th Edition format is used accurately and consistently. The student uses above the maximum required references in the development of the assignment. Grammar (worth maximum of 20% of total points) Zero points: Student failed to submit the final paper. 5 points out of 20: The paper does not communicate ideas/points clearly due to inappropriate use of terminology and vague language; thoughts and sentences are disjointed or incomprehensible; organization lacking; and/or numerous grammatical, spelling/punctuation errors 10 points out 20: The paper is often unclear and difficult to follow due to some inappropriate terminology and/or vague language; ideas may be fragmented, wandering and/or repetitive; poor organization; and/or some grammatical, spelling, punctuation errors 15 points out of 20: The paper is mostly clear as a result of appropriate use of terminology and minimal vagueness; no tangents and no repetition; fairly good organization; almost perfect grammar, spelling, punctuation, and word usage. 20 points: The paper is clear, concise, and a pleasure to read as a result of appropriate and precise use of terminology; total coherence of thoughts and presentation and logical organization; and the essay is error free. 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The paper has slight errors within the paper. This can include small errors or omissions with the cover page, abstract, page number, and headers. There could be also slight formatting issues with the document spacing or the font Additionally the paper might slightly exceed or undershoot the specific number of required written pages for the assignment. 10 points: Student provides a high-caliber, formatted paper. This includes an APA 6th edition cover page, abstract, page number, headers and is double spaced in 12’ Times Roman Font. Additionally, the paper conforms to the specific number of required written pages and neither goes over or under the specified length of the paper.
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