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To complete this assignment successfully, you should:
§ Continuous Probability §
Assignments
Send to your instructor a single
Excel file (including written answers) as e-mail an attachment through WebMail. addressed
to mailto:BA501@mail.cba.nau.edu and put "BA501
(last name) Assignment name and number" somewhere in the
e-mail "subject." If you have any questions on this home work, please
e-mail me with questions.
Put the different exercise outputs on separate sheets in the Excel file.
Here is the Excel
worksheet for this assignment. Use "save as"
to save it to your computer or to a floppy.
1. Calculate the area under the standard normal curve between the following values.
In addition to using the Z table, verify you answers using Excel.
(a) 2.1 and 3.3
(b) -1.75 and 1.75
(c) -0.84 and 0
(click me)
2. The "I'm Smarter Than You" club passes only 10% of those who take their entrance examination. If the results follow a normal distribution with an average of 75 and a standard deviation of 16, what is the passing score?
In addition to the hand calculation using the Z table, use Excel to verify your results.
(click me)
3. The length of a bolt used to connect critical parts of a miniature motor has a mean length of 10 centimeters and a standard deviation of 0.05 centimeters. Calculate the proportion of bolts whose lengths are more than 10.15 centimeters.
In addition to the hand calculation using the Z table, use Excel to verify your results.
(click me)
4. The research division of Viva Sandals determined the average (mean) life of their sandals to be 5,000 miles with a standard deviation of 500 miles. Given that sandal life is a normally distributed random variable, find the following (in thousands).
In addition to the hand calculations using the Z table, use Excel to verify your results.
(click me)
(a) P[4.5 £ X £ 5.5]
(b) P[4.3 £ X £ 5.4]
(c) P[X £ 4.4]
(d) P[X ³ 5.8]
5. Assume a normally distributed population of the height of females at NAU has a mean of 64 inches and standard deviation of 1.5 inches. At what height of females at NAU will 70% of the heights be accumulated from shortest to tallest?
In addition to the hand calculations using the Z table, use Excel to verify your results.
(click me)