STAT 101
CSTS-SEU-KSA
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Statistics (STAT-101)
Assignment-1 (Weeks: 2-4)
1st Semester, 1439-1440 (2018-2019)
Due date: 13/10/2018 (Time: 10:30 PM)
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Student’s Name |
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Student’s ID |
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Section/CRN |
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Location |
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Marking Scheme |
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Question |
Score |
Obtained Score |
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Q-1 |
3 |
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Q-2 |
3 |
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Q-3 |
3 |
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Q-4 |
3 |
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Q-5 |
3 |
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Q-6 |
3 |
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Total |
18 |
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Note: You are required to fill your full name, ID and CRN.
Solve the following questions
1. Construct a frequency distribution and relative frequency distribution table for the following data with 5 classes:
12, 14, 15, 15, 15, 16, 18, 21, 21, 22, 22, 22, 23, 25, 26, 26, 27, 29, 31, 33
2. Complete the following table and Construct the Frequency Histogram of the data:
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Class Interval |
Frequency |
Class Boundaries |
Class Mid-Points |
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10-19 |
4 |
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20-29 |
6 |
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30-39 |
10 |
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40-49 |
6 |
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50-59 |
4 |
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3. Find the mean and standard deviation of the following data:
5, 6, 7, 8, 9
Based on these results, check whether the value of 10 unusual?
4. Calculate the mean of the marks of the following data:
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Marks Interval |
No. of Students |
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0-10 |
4 |
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10-20 |
6 |
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20-30 |
10 |
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30-40 |
6 |
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40-50 |
4 |
5. A card is selected at random from a pack of 52 cards. What is the probability that the card is either an ace or red color?
6. Pre-Employment Drug Screening Results are shown in the following Table:
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Positive Test Result |
Negative Test Result |
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Subject Uses Drugs |
8 (True Positive) |
2 (False Negative) |
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Subject is not a Drug User |
10 (False Positive) |
180 (True Negative) |
a. If 1 of the 200 test subjects is randomly selected, find the probability that the subject had a positive test result, given that the subject actually uses drugs. That is,
find (positive test result subject uses drugs).
b. If 1 of the 200 test subjects is randomly selected, find the probability that the subject actually uses drugs, given that he or she had a positive test result. That is,
find (subject uses drugs ).