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, 3; 9, 4; 10, 5; 11, 5; 12, 2; 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 12 or 13 phone calls that day?
A.three fifths
three fifths
B.StartFraction 4 Over 25 EndFraction
StartFraction 4 Over 25 EndFraction
C.five sixths
five sixths
D.four elevenths
four elevenths
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, 3; 9, 4; 10, 5; 11, 5; 12, 2; 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 12 or 13 phone calls that day?
A.three fifths
three fifths
B.StartFraction 4 Over 25 EndFraction
StartFraction 4 Over 25 EndFraction
C.five sixths
five sixths
D.four elevenths
four elevenths
Answers
GPT-4o mini
To determine the probability that a student chosen at random made 12 or 13 phone calls, we first need to find the total number of students represented in the plot and the number of students who made either 12 or 13 phone calls.
From the given information on the dot plot:
- The number of students who made 12 phone calls = 2
- The number of students who made 13 phone calls = 2
So, the total number of students who made either 12 or 13 calls is:
\[ 2 (for\ 12\ calls) + 2 (for\ 13\ calls) = 4 \]
Next, we need to find the total number of students represented on the plot. We sum up all the students represented by the dots:
- For 5 calls: 1
- For 6 calls: 1
- For 7 calls: 1
- For 8 calls: 3
- For 9 calls: 4
- For 10 calls: 5
- For 11 calls: 5
- For 12 calls: 2
- For 13 calls: 2
- For 14 calls: 0
- For 15 calls: 1
Now we calculate the total:
\[ 1 + 1 + 1 + 3 + 4 + 5 + 5 + 2 + 2 + 0 + 1 = 25 \]
Now that we have the total number of students (25), we can find the probability that a randomly chosen student made 12 or 13 phone calls:
\[ P(12\ or\ 13\ calls) = \frac{Number\ of\ students\ who\ made\ 12\ or\ 13\ calls}{Total\ number\ of\ students} = \frac{4}{25} \]
Thus, the probability a student chosen at random made 12 or 13 phone calls that day is:
**B. \(\frac{4}{25}\)**.
From the given information on the dot plot:
- The number of students who made 12 phone calls = 2
- The number of students who made 13 phone calls = 2
So, the total number of students who made either 12 or 13 calls is:
\[ 2 (for\ 12\ calls) + 2 (for\ 13\ calls) = 4 \]
Next, we need to find the total number of students represented on the plot. We sum up all the students represented by the dots:
- For 5 calls: 1
- For 6 calls: 1
- For 7 calls: 1
- For 8 calls: 3
- For 9 calls: 4
- For 10 calls: 5
- For 11 calls: 5
- For 12 calls: 2
- For 13 calls: 2
- For 14 calls: 0
- For 15 calls: 1
Now we calculate the total:
\[ 1 + 1 + 1 + 3 + 4 + 5 + 5 + 2 + 2 + 0 + 1 = 25 \]
Now that we have the total number of students (25), we can find the probability that a randomly chosen student made 12 or 13 phone calls:
\[ P(12\ or\ 13\ calls) = \frac{Number\ of\ students\ who\ made\ 12\ or\ 13\ calls}{Total\ number\ of\ students} = \frac{4}{25} \]
Thus, the probability a student chosen at random made 12 or 13 phone calls that day is:
**B. \(\frac{4}{25}\)**.