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## Normal Probability and Standard Deviation Question

Order ID# 45178248544XXTG457Plagiarism Level: 0-0.5%Writer Classification: PhD competentStyle: APA/MLA/Harvard/ChicagoDelivery: Minimum 3 HoursRevision: PermittedSources: 4-6Course Level: Masters/University CollegeGuarantee Status: 96-99%

InstructionsThe 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?Question 2

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 $350Question 3

Can two events that are mutually exclusive occur at the same time?

Question 4

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.)Question 5

Bonus Question

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?Question 6

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.

Question 7

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.)Question 8

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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The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

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The background and significance of the problem and a clear statement of the research purpose is provided. The search history is mentioned.

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Average Score50-85%

40-38 points

More depth/detail for the background and significance is needed, or the research detail is not clear. No search history information is provided.

83-76 points

Review of relevant theoretical literature is evident, but there is little integration of studies into concepts related to problem. Review is partially focused and organized. Supporting and opposing research are included. Summary of information presented is included. Conclusion may not contain a biblical integration.

52-49 points

Content is somewhat organized, but no structure is apparent. The use of font, color, graphics, effects, etc. is occasionally detracting to the presentation content. Length requirements may not be met.

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75-1 points

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48-1 points

There is no clear or logical organizational structure. No logical sequence is apparent. The use of font, color, graphics, effects etc. is often detracting to the presentation content. Length requirements may not be met

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Normal Probability and Standard Deviation Question

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