Problem #1
church church header
Offering in $ Number
0 to 5 200
5 up to 10 100
10 up to 20 75
20 up to 50 75
50 or more 50
Total 500
A. What is the probability of selecting an envelope at random and finding $50 or more in it?

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B. Are the offering classes (i.e. $0 to 5, 5 up to 10, etc.) mutually exclusive? What is this question asking?

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C. If the probabilities associated with each class were totaled, what would the total be?

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D. What is the probability of selecting an envelope at random and finding it to contain up to $10?

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E. What is the probability of finding less than $50 in an envelope selected at random?

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Problem #2
driver

WSU Student Driving

A student in the Computer Science department of Weber State University drives from his home in the suburbs near Riverton to the campus located in Ogden. The driving times are normally distributed with a mean of 35 minutes and a standard deviation of 8 minutes.
A. In what percent of the days will it take him 30 minutes or less to drive to school?

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B. In what percent of the days will it take 40 minutes or more to drive to school?

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C. Explain to the user of your web page why the probability is nearly 0 that it will take him exactly 40 minutes to get to school.

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D. Since the user did not understand your answer to part C, how would you estimate the percent of days in which it takes 40 minutes to drive to work? (Hint: Within what range of values would the times be rounded to 40?)

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E. Some days there will be accidents or delays, so the trip will take longer than usual. How long will the longest 10 percent of the trips take?

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