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
1)
The following is a frequency distribution table for the kids ages in a nursery:
Age (Months)
0 – 11
12 – 23
24 – 35
Midpoint Frequency
9
5.5
17
17.5
14
29.5
The mean kids’ age in this nursery is 13.33.
True
False
2)
The midrange of these data sets (22, 22, 26, 24, 23, 25) is 24.
True
False
3)
The frequency table for certain data is given in the following table:
Class
10-19
20-29
30-39
40-49
Frequency
5
6
5
7
The Relative frequency for the class 30-39 is 0.25
50-59
2
True
False
4)
Let the total frequency of a distribution is 50. If the relative frequency of a class of
this distribution is 0.20, then the frequency of that class is 1.
True
False
5)
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%
20%
30%
25%
6)
In the frequency distribution, the classes are 25–29, 30–34, etc. If the data
values are 36, 37, 38, 39, 27, 28, 29, 30, 31, 32, 33, 34, 35, 40, 41, 42, 43,
44, then the frequency of the class 35–39 is
3
9
7
5
7)
If the relative frequencies of class-intervals of a distribution are 0.20, 0.10, x, 0.25 &
0.15. Then the value of the missing value x is
0.25
0.30
0.20
0.15
8)
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
5
8
4
12
9)
If events A and B are independent, then P(A and B) = P(A). P(B).
True
False
10)
A fair die with six faces is rolled once; the probability of getting an odd number is
1/2.
True
False
11)
Let the maximum usual value of a data set is 150. If the mean of this set is 130, then
the standard deviation of the data set using Range rule of thumb is
5
20
15
10
12)
The mean of the even numbers from 1 to 10 is:
15
10
30
6
13)
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:
75.67
72
864
288
14)
At one college, GPA’s are normally distributed with a mean of 2.6 and a standard
deviation of 0.4. According to empirical rule, What percentage of students at the
college have a GPA between 1.8 and 3.4?
84.13%
95%
99.7%
68%
15)
In a Binomial distribution, n = 2 and P(0) =0.7056. Use the formula of the
Binomial distribution to find p
0.16
0.35
0.29
0.84
16)
The random variable X has the following probability distribution.
x
0
1
2
3
P(x)
0.2
0.3
k
0.4
The value of k is
0.1
0
1.0
0.01
17)
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
0.02
0.05
0.50
0.20
18)
A couple has 3 children. What is the probability that they have exactly two boys?
1/8
3/8
4/8
1/3
19)
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?
3/13
7/13
0
1/13
20)
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:
0.350
0.058
0.163
0.465
21)
The number of cars going at a speed of 200 km/h on a particular highway is an
example of Continuous Data.
True
False
22)
Ordinal level of measurement is most appropriate for temperatures of the ocean at
various depths.
True
False
23)
Which type of sampling is used in the statement, ‘On the day of the last presidential
election, ABC News organized an exit poll in which specific polling stations were
randomly selected and all voters were surveyed as they left the premises.’
Cluster
Systematic
Convenience
Stratified
24)
The length of time of a particular phone call is an example of continuous random
variable.
True
False
25)
A Binomial random variable has a mean equal to 5 and a standard deviation of 2. So,
the probability of success in single trial, p = 0.8
True
False