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DEPARTMENT OF MATHEMATICAL SCIENCES
DHAHRAN, SAUDI ARABIA
STAT 319: PROBABILITY & STATISTICS FOR ENGINEERS & SCIENTISTS
Major Exam 1, Semester043 (2005)
Time: 7:00 pm to 8:30 pm. Sunday July 17, 2005
Instructor: Musawar Amin Malik
Student Name: ID# Section #
______________________________________________________________________
Answer all questions. You are allowed to use any electronic calculator.
Question No MarksMarks Obtained1
5+3+4+42
1+23
3+24
2+35
2+26
47
3Total
40
1. Consider the following humidity readings rounded to the nearest percent:
29 44 12 53 21 34 39 25 48 23
17 24 27 32 34 15 42 21 28 37
Calculate the coefficient of variation and interpret your result.
Find the upper quartile and interpret this value.
Construct frequency distribution and histogram starting from 10 and with a width (step size) of the intervals 10 and comment on the shape of the histogram.
Draw a cumulative relative frequency curve and use this graph to find the 90th percentile and interpret this value.
2.
If the mean is smaller than the median then the distribution is  skewed.
Find the variance of a sample if all the observations in the sample are same.
Let P(E) = and P(E U F) =
Compute P (F). If E and F are independent events.
Compute P (F). If E and F are mutually exclusive events.
In a certain residential area 60% of all households subscribe to the national newspaper, 80% subscribe to the afternoon paper and 50% of all households subscribe to both papers. If a household is selected at random, what is the probability that it subscribes to
At least one of the two newspapers.
Exactly one of the two newspapers.
Suppose that of all individuals buying a certain personal computer, 60% include a word processing program in their purchase, 40% include a spreadsheet program, and 30% include both types of programs. Consider randomly selecting a purchaser and let A = (word processing program included) and B = (spreadsheet program included).
Find the probability that a word processing program was included given that the selected individual included a spreadsheet program.
Find the probability that a spreadsheet program was included given that the selected individual included a word processing program.
There are 300 students in a Math course of which 140 are Management students and remaining Engineering students. It is known that 80 percent of Management and 60 percent of the Engineering students have their drivers license. If a student is selected at random from this math course, what is the probability that the student is a Management student and has a driver license?
A days production of 950 manufactured parts contains 100 parts that do not meet customer requirements. Three parts are selected randomly without replacement from the batch. What is the probability that the first is defective and the 2nd and 3rd are not defective.
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