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Understanding Statistics - using the formulas when working on examples

As a Bachelor of Business student studying Statistics as one of my cor subjects and have found that I am having real trouble with understanding the problems we face in class. I have tried hard to get it without luck..... I have attached three examples.. and as my text book is too complex I am looking for another way to get an understanding when which formula goes where and why and how to get the answer? Please help so I don't fall behind !

Subject:

Statistics

Topic:

All Topics

Posting ID:

2612

OTA ID:

102799

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Statistics Problem

1. Bill has completed a ten question multiple choice test on which he answered seven questions correctly. Each question had one correct answer to be chosen from four alternatives. Bill says that he answered the test by randomly selecting the answers without reading the questions or answers. a. What is the expected number of correct responses under these circumstances if one in fact selects the responses at random. What is the standard deviation? b. What is the probability of Bill guessing seven of the ten answers correctly? c. What is the probability that one could guess six or more answers correctly? d. What do you think of Bill’s claim? Explain.

Subject:

Statistics

Topic:

All Topics

Posting ID:

2623

OTA ID:

102524

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Stats Problem

1. A group of day to day workers can work either 0 hours, eight hours or 12 hours at a pay rate of $9.75 per hour. (The 12 hour day pays regular time for the first eight hours and double time for the remaining four hours.) On any given day there is a 0.2 probability of not working at all, 0.7 probability of working an eight hour shift and a 0.1 probability of working a 12 hour shift. a. What is the probability of working at least some of the time during a day? b. What is the expected amount of work per day? c. What is the variation in the expected amount of work per day? d. What is the expected pay per day? e. What are the expected earnings in a 5-day work week?

Subject:

Statistics

Topic:

All Topics

Posting ID:

2624

OTA ID:

102799

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Stats Problem

1. The camera department of a large department store sells three different brands of cameras: Proxima, Yakima, and Tetron. Approximately 60% of the cameras sold are Yakimas with Tetrons accounting for 30% of sales and Proxima the remaining 10%. Store records show that approximately ¼ of those who purchase a Yakima return within one year to purchase accessories for their camera. The corresponding figures for the other two are: Tetron, 1/5; and Proxima, 3/5. If a person is known to have purchased an accessory within a year of the purchase of a camera, what is the probability the person purchased a Yakima?

Subject:

Statistics

Topic:

All Topics

Posting ID:

2625

OTA ID:

101438

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statistics problem

The lengths of adult earthworms are normal with mean 8.6cm. and standard deviation 1.6cm. 40 adult earthworms are chosen at random. Approximate the probability that at lease 18 of them are less than 4.5cm.long.

Subject:

Statistics

Topic:

All Topics

Posting ID:

2675

OTA ID:

102524

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