Statistics Question

Instructions of Assignment-1(STAT-101)The display date of Assignment 1 is Wednesday, December 28, 2022, 11:00 P.M.
The due date of Assignment 1 is Monday, January 02, 2023, at 11:00 PM.
Assignment 1 covers the material of Weeks 1, 2, 3, & 4 (Chapters-1, 2, 3, 4 & 5)
The assignment consists of 25 questions
10T/F (0.25 marks each) and 15MCQ (0.5marks each)
Total Marks = 10
You have only one attempt.
1)
The random variable X has the following probability distribution:
x
0
1
2
3
P(x)
5k
3k
4k
8k
The value of k is
0.05
0.02
0.20
0.50
2)
The Expected value of the random variable X where its values are 2, 3, 4 and the
corresponding probabilities are 0.3, 0.3, 0.4 respectively, is equal to
2.1
4.1
3.1
5.1
3)
In a Binomial distribution, n = 2 and P(0) =0.7056. Use the formula of the
Binomial distribution to find p
0.16
0.84
0.29
0.35
4)
The frequency distribution below summarizes the home sale prices in the city of
Summerhill for the month of June. Determine the width of each class.
Sale price in thousand $
Frequency
10-19
3
20-29
5
30-39
4
40-49
9
9
12
11
10
5)
What is the frequency of the class 20-29 for the given cumulative frequency table?
Cumulative frequency
Less than 10
1
Less than 20
3
Less than 30
8
Less than 40
20
Less than 50
25
8
4
12
5
6)
The following frequency distribution analyzes the scores on a math test. The class
boundaries of scores interval 60-69 are:
Scores
No. of Students
40-49
6
50-59
5
60-69
12
70-79
8
80-89
4
90-99
4
59.5, 69.0
60.5, 69.5
59.5, 69.5
59.0, 69.5
7)
The frequency distribution for a certain data is given from the following table
Class Interval
Frequency
50-59
2
60-69
7
70-79
5
80-89
6
90-99
5
Then the percentage frequency for the class 90-99 is:
28%
30%
20%
25%
8)
A die with 6 faces is rolled once. What is the probability that the number is greater
than 3?
3/6
2/6
4/6
1/6
9)
In a population, individuals are divided into blood groups: A, B, AB and O and within
each group into Rhesus + or – according to the following table:
Group
A
B
AB
O
Rhesus +
34
25
5
36
Rhesus –
8
3
2
7
An individual is chosen at random. Giving that he/she has Rhesus –, the probability
that he/she is group O is:
0.465
0.163
0.058
0.350
10)
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?
1/13
0
3/13
7/13
11)
If the mean of the data values of a set is 80 and the Standard Deviation is 15, then by
the range rule of Thumb the Minimum usual value of the data set is 65.
True
False
12)
If for a distribution Q1=13, Q2=14 and Q3=15.5. Then the Interquartile range is 2.5
True
False
13)
If A and B are mutually exclusive events, then P(A or B) = P(A) + P(B)
True
False
14)
In a population, individuals are divided into blood groups: A, B, AB and O and within
each group into Rhesus + or – according to the following table:
Group
A
B
AB
O
Rhesus +
34
25
5
36
Rhesus –
8
3
2
7
An individual is chosen at random. The probability that he/she is Rhesus – OR group
O is 0.525
True
False
15)
The ordinal-level data are always quantitative in nature.
True
False
16)
Ordinal level of measurement is most appropriate for temperatures of the ocean at
various depths.
True
False
17)
Bar graph uses bars of equal width to show frequencies of categories of qualitative
data.
True
False
18)
The following ogive shows that 45 of the values are less than 30.5
True
False
19)
Speed of train is an example of
Discrete Data
Qualitative Data
Categorical Data
Continuous Data
20)
If the probability of success in one trial of a binomial distribution is p=0.4, and the
number of trials is n= 30, then the mean (E) of this distribution is equal to 1.2.
True
False
21)
A coin is tossed 4 times. The probability of getting Head exactly 3 times using
Binomial probability rule is 4× (1/2)4
True
False
22)
A student had the following grades in the related courses:
Course
Mathematics
English language
PE
Weight
6
4
2
Grade
70
65
92
Given the weights of the courses, the weighted mean grade of the student is:
864
72
75.67
288
23)
At one college, GPA’s are normally distributed with a mean of 3 and a standard
deviation of 1. According to empirical rule, What percentage of students at the college
have a GPA between 2 and 4?
84.13%
99.7%
68%
95%
24)
The midterm marks obtained by 4 students in a sample are as follows: 8, 9, 13, 10.
What is the Standard Deviation of this data?
2.87
4.67
2.16
1.87
25)
Listed below are the amounts of time (in months) that the employees of a restaurant
have been working at the restaurant. What is the median of this data?
22, 11, 55, 33, 99, 66
22 months
55 months
44 months
33 months