Description
See attached Word document for the list of eight questions with graphic.
Unformatted Attachment Preview
Purchase answer to see full attachment
Explanation & Answer
The solution is attached in Word and pdf format.Please, give me feedback.
Question 1
i.
ii.
iii.
iv.
There are 28 elements in the data set.
There are 4 variables in the data set.
There are 7 observations in the data set.
The variables and their type are:
Variable
Type
City
Categorical
High temperature (Hi)
Quantitative
Low temperature (Lo)
Quantitative
Condition
Categorical
Question 2
i.
The frequency distribution and bar chart of the grades are presented below:
Grade
A
B
C
Total
ii.
Frequency
4
11
5
20
The relative frequency distribution of the grades and the corresponding pie chart are
presented below:
Variable
A
B
C
Total
Relative Freq.
4
= 0.20
20
11
= 0.55
20
5
= 0.25
20
1.00
Question 3
The number of hours worked per week sorted in ascending order is presented below:
0, 6, 8, 16, 18, 20, 22, 30, 40, 40
18+20
= 19 hours worked per week
i.
The median is:
ii.
𝑀𝑒𝑑𝑖𝑎𝑛 = 19
The median value means that 50% of the students work 19 hours or less per week.
Alternatively, the median can be interpreted as 50% of the students work 19 hours or
more per week.
𝑖𝑛𝑑𝑒𝑥 = 0.7 × 10 = 7
2
70th percentile, 𝑃70 =
7𝑡ℎ 𝑣𝑎𝑙𝑢𝑒+8𝑡ℎ 𝑣𝑎𝑙𝑢𝑒
2
=
22+30
2
= 26
𝑃70 = 26
The 70th percentile means that 70% of the students worked less than 26 hours per week.
iii.
The mode of the data is 40. The mode signifies the most frequent number of hours
worked per week by the students.
Question 4
Given: P(A) = 0.4,
P(A ∩ C) = 0.04
P(B) = 0.2,
P(A ∪ D) = 0.6
i.
P(A ∪ D) = P(A) + P(D) − P(A ∩ D)
∴ P(D) = P(A ∪ D) − P(A) + P(A ∩ D)
P(D) = 0.6 − 0.4 + 0.03
P(D) = 0.23
ii.
𝑃(𝐴|𝐵) =
𝑃(𝐴∩𝐵)
𝑃(𝐵)
∴ 𝑃(𝐴 ∩ 𝐵) = 𝑃(𝐴|𝐵) ∙ 𝑃(𝐵)
𝑃(𝐴 ∩ 𝐵) = 0.3 × 0.2
𝑃(𝐴 ∩ 𝐵) = 0.06
iii.
𝑃(𝐴|𝐶) =
𝑃(𝐴∩𝐶)
𝑃(𝐶)
=
0.04
0.1...