STAT 101

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Assignment-1_STAT-101_2018-19_Ist.docx

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)

Student’s Name

Student’s ID

Section/CRN

Location

Marking Scheme

Question

Score

Obtained Score

Q-1

3

Q-2

3

Q-3

3

Q-4

3

Q-5

3

Q-6

3

Total

18

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:

Class Interval

Frequency

Class Boundaries

Class Mid-Points

10-19

4

20-29

6

30-39

10

40-49

6

50-59

4

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:

Marks Interval

No. of Students

0-10

4

10-20

6

20-30

10

30-40

6

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:

Positive Test Result

Negative Test Result

Subject Uses Drugs

8

(True Positive)

2

(False Negative)

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 ).