Question
The line plot shows the number of phone calls made in one day by students in Dorothy’s class.
Number of Phone Calls
3
4
5
6
7
8
9
10
11
12
13
14
15
A dot plot labeled Results of Coin Tosses has a horizontal axis labeled Number of ~sideC from 5 to 15 in increments of 1. The graph consists of a series of plotted points from left to right. The number of dots on each horizontal axis label are as follows, where the label is listed first and the number of dots is listed second: 5, 1; 6, 1; 7, 1; 8, 2; 9, 4; 10, 5; 11, 5; 12, 3; 13, 2; 14, 0; 15, 1.
Question content area bottom
Part 1
Based on the information in the line plot, what is the probability a student
chosen at random made 11 or 12 phone calls that day?
A.StartFraction 7 Over 22 EndFraction
StartFraction 7 Over 22 EndFraction
B.StartFraction 13 Over 20 EndFraction
StartFraction 13 Over 20 EndFraction
C.StartFraction 11 Over 18 EndFraction
StartFraction 11 Over 18 EndFraction
D.StartFraction 8 Over 25 EndFraction
StartFraction 8 Over 25 EndFraction
Number of Phone Calls
3
4
5
6
7
8
9
10
11
12
13
14
15
A dot plot labeled Results of Coin Tosses has a horizontal axis labeled Number of ~sideC from 5 to 15 in increments of 1. The graph consists of a series of plotted points from left to right. The number of dots on each horizontal axis label are as follows, where the label is listed first and the number of dots is listed second: 5, 1; 6, 1; 7, 1; 8, 2; 9, 4; 10, 5; 11, 5; 12, 3; 13, 2; 14, 0; 15, 1.
Question content area bottom
Part 1
Based on the information in the line plot, what is the probability a student
chosen at random made 11 or 12 phone calls that day?
A.StartFraction 7 Over 22 EndFraction
StartFraction 7 Over 22 EndFraction
B.StartFraction 13 Over 20 EndFraction
StartFraction 13 Over 20 EndFraction
C.StartFraction 11 Over 18 EndFraction
StartFraction 11 Over 18 EndFraction
D.StartFraction 8 Over 25 EndFraction
StartFraction 8 Over 25 EndFraction
Answers
GPT-4o mini
To determine the probability that a student chosen at random made 11 or 12 phone calls, we first need to find the total number of students in the class and the number of students who made either 11 or 12 phone calls.
From the dot plot information you provided, we can summarize the number of students who made each number of phone calls as follows:
- 5 calls: 1 student
- 6 calls: 1 student
- 7 calls: 1 student
- 8 calls: 2 students
- 9 calls: 4 students
- 10 calls: 5 students
- 11 calls: 5 students
- 12 calls: 3 students
- 13 calls: 2 students
- 14 calls: 0 students
- 15 calls: 1 student
Now, let's count the total number of students:
- Total = 1 + 1 + 1 + 2 + 4 + 5 + 5 + 3 + 2 + 0 + 1 = 25 students
Next, we count the number of students who made 11 or 12 phone calls:
- Students who made 11 calls: 5
- Students who made 12 calls: 3
Therefore, the total number of students who made either 11 or 12 calls is:
- 5 + 3 = 8 students
Now we can calculate the probability:
\[ P(11 \text{ or } 12 \text{ calls}) = \frac{\text{Number of students who made 11 or 12 calls}}{\text{Total number of students}} = \frac{8}{25} \]
Thus, the probability that a student chosen at random made 11 or 12 phone calls that day is:
**D. \(\frac{8}{25}\)**
From the dot plot information you provided, we can summarize the number of students who made each number of phone calls as follows:
- 5 calls: 1 student
- 6 calls: 1 student
- 7 calls: 1 student
- 8 calls: 2 students
- 9 calls: 4 students
- 10 calls: 5 students
- 11 calls: 5 students
- 12 calls: 3 students
- 13 calls: 2 students
- 14 calls: 0 students
- 15 calls: 1 student
Now, let's count the total number of students:
- Total = 1 + 1 + 1 + 2 + 4 + 5 + 5 + 3 + 2 + 0 + 1 = 25 students
Next, we count the number of students who made 11 or 12 phone calls:
- Students who made 11 calls: 5
- Students who made 12 calls: 3
Therefore, the total number of students who made either 11 or 12 calls is:
- 5 + 3 = 8 students
Now we can calculate the probability:
\[ P(11 \text{ or } 12 \text{ calls}) = \frac{\text{Number of students who made 11 or 12 calls}}{\text{Total number of students}} = \frac{8}{25} \]
Thus, the probability that a student chosen at random made 11 or 12 phone calls that day is:
**D. \(\frac{8}{25}\)**