General Science
College of Engineering
Majmaah University
:ةعومجملا
Stat-101
Second Mid Term
Time:
75
Minutes
23/6/1431
:مس لإا
Question #1:
(3 Marks)
The following data give the numbers of laptops sold by 10 shops during the past month (sample).
41 33 29 21 29 21 14 27 39 36
Find the range, variance, and standard deviation.
Question #2:
(3 Marks)
The age distribution of a sample of 5000 persons is bell-
shaped with a mean of 40 years and a standard deviation of 12 years. Determine the approximate percentage of people who are 18 to 62 years old.
Stat 101 – Second Midterm Exam. (1431) 1

Question #3:
(9 Marks)
The following are the numbers of computer monitors produced at the big company for a sample of 30 days:
24
21
32
26
27
31
23
20
33
27
33
33
29
27
25
23
23
28
28
29
31 35 34 22 26 28 23 35 31 27
Prepare a box-and-whisker plot. Are there any outlaiers?
If yes, name them.
Stat 101 – Second Midterm Exam. (1431) 2

Question #4:
(8 Marks)
A box contains 10 cards, marked 1 to 10. A card is drawn from the box at random. For this experiment:
1.
Draw a Venn diagram.
2.
Find the probability of each simple outcome, Ei.
3.
Find the outcomes favorable to the event A1 = "Even outcome
". Find P(A1).
4.
Find the outcomes favorable to the event A2 = "outcome greater than 6 ". Find P(A2).
5.
Find the outcomes favorable to the event A3 = "outcome less than or equal 3 ". Find P(A3).
6.
Find the outcomes favorable to the event A4 = "outcome equal 12 ". Find P(A4).
7.
Find the outcomes favorable to the event A5 = "outcome NOT equal 5 ". Find P(A5).
Stat 101 – Second Midterm Exam. (1431) 3

Question #5:
(7 Marks)
For the experiment of "Tossing a coin trice (3 times) ", the sample space for the experiment is: S = {HHH, HHT, HTH,
THH, HTT, TTH, THT, TTT} where H denotes Head and T denotes Tail. All outcomes are equally probable.
For this experiment:
1.
Draw a tree Diagram.
2.
Find the probability of each simple outcome, Ei.
3.
Find the outcomes favorable to the event, B1 = "outcome has exactly two heads". Find P(B1).
4.
Find the outcomes favorable to the event, B2 = "outcome has at least one tail". Find P(B2).
5.
Find the outcomes favorable to the event, B3 = "outcome has more than one head". Find P(B3).
6.
Find the outcomes favorable to the event, B4 = "outcome has at least four tails". Find P(B4).
Stat 101 – Second Midterm Exam. (1431) 4