A teacher surveys a random group of students about their preference for doing classwork
online or on paper. The results are shown in the table below.
STUDENT CLASSWORK
PREFERENCE
Preference
Online
Paper
Number of
Students
17
8
Based on the results, how many students out of 350 will most likely have a preference to
do their classwork online?
Show your work.

Question

06-09-2022
Mathematics

Answered

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A teacher surveys a random group of students about their preference for doing classwork
online or on paper. The results are shown in the table below.
STUDENT CLASSWORK
PREFERENCE
Preference
Online
Paper
Number of
Students
17
8
Based on the results, how many students out of 350 will most likely have a preference to
do their classwork online?
Show your work.

Sagot :

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rafikiedu08 rafikiedu08 · Answer 1 · 2022-09-09T14:21:23-04:00

The number of students those who will most likely have their preference to do their classwork online is 238 out of 350

According to the question statement, A teacher surveys a random group of students about their preference for doing classwork online or on paper.

17 Preferred Online and 8 Preferred on paper.

We are supposed to find the number of students who will most likely have their preference to do their classwork online.

We will be using the concept of Probability for solving this.

[tex]Probability(Event)=\frac{Favourable Outcomes}{Total Outcomes}[/tex]

Probability(Event) = Favorable Outcomes/Total Outcomes

For the survey probability of students preferring online mode of classwork is = [tex]\frac{17}{17+8} =\frac{17}{25}[/tex]

= [tex]0.68[/tex]

Now if we consider a group of 350 students and probability of students preferring online mode of classwork as 0.68

Let the number students preferring online mode of classwork be "x"

so [tex]\frac{x}{350} =0.68[/tex]

or [tex]x=0.68*350\\x =238[/tex]

Therefore, the number of students those who will most likely have their preference to do their classwork online is 238 out of 350

Probability: P(A) = n(A)/n(S)

where P(A) is the probability of an event “A”, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.

If you want to learn more about probability, click on the link given below:

https://brainly.com/question/11234923

#SPJ9

Sagot :

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