Two friends, Andy and Bob, participate in a game of bowling every week. From past experiences, it is known that both friends' scores are approximately normally distributed, where Andy has a mean score of 150 with astandard deviation of 30, and Bob has a mean score of 165 with a standard deviation of 15. Assuming that their scores are independent, which of the following values is closest to the probability that Andy will have agreater score than Bob in a single game?(A) 0.16(B)(C) 0.31(D0.28E0.330.37

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Answered: Two friends, Andy and Bob, participate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The amount of money spent by a customer at a discount store has a mean of $100 and a standard deviation of $30. What is the probability that a randomly selected group of 50 shoppers will spend a total of more than $5,100? (Hint: The total will be more than $5,100 when the sample mean exceeds what value? Round your answer to four decimal places.)
The amount of money spent weekly on cleaning, maintenance, and repairs at a large restaurant was observed over a long period of time to be approximately normally distributed, with mean μ = $623 and standard deviation σ = $44. If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.16? (Round your answer to the nearest dollar.)
Assume that the traffic to the web site of Smiley's People, Inc., which sells customized T-shirts, follows a normal distribution, with a mean of 4.44 million visitors per day and a standard deviation of 870,000 visitors per day. What is the probability that the web site has 3 million or more visitors in a single day? (Round your answer to four decimal places.)
Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard deviation of $7,600. What is the probability that a randomly chosen customer earns more than $45,000? (Round your answer to three decimal places, eg 0.192.)
Answer a, b, & c.
Business Weekly conducted a survey of graduates from several top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $124,000. Assume the standard deviation is $42,000. Suppose you take a simple random sample of 17 graduates. Round all answers to four decimal places if necessary What is the standard deviation of ¯¯¯XX¯? For a single randomly selected graduate, find the probability that her salary is between $111,920 and $125,213. For a simple random sample of 17 graduates, find the probability that the average salary is between $111,920 and $125,213.
Suppose your customers' incomes are normally distributed with a mean of $37,500 with a standard deviation of $7,600. What is the probability that a randomly chosen customer earns less than $35,000? (Round your answer to three decimal places, eg 0.192.)
The incomes of a certain large population of electricians follow a Normal distribution with mean $60,000 and standard deviation $6000. What is the probability that an electrician chosen at random from this population will have a salary between $54,000 and $65,000? (Give a proportion to 4 decimal places.)
A construction company in Florida is struggling to sell condominiums. The company believes that it will be able to get an average sale price of $255,000. Let the price of these condominiums in the next quarter be normally distributed with a standard deviation of $17,000. [You may find it useful to reference the z table.] a. What is the probability that the condominium will sell at a price (i) Below $231,000? (ii) Above $293,000? (Round your final answers to 4 decimal places.) ✔ Answer is complete and correct. Probability Below $231,000 Above $293,000 0.0793✔ 0.0129 b. The company is also trying to sell an artist's condo. Potential buyers will find the unusual features of this condo either pleasing or objectionable. The manager expects the average sale price of this condo to be the same as others at $255,000, but with a higher standard deviation of $21,000. What is the probability that this condo will sell at a price (i) Below $231,000? (ii) Above $293,000? (Round your answers to 4…
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