A confectionary company did a survey among students. It was found that 80 students liked pastries and 30 of those students liked candies also. There were 15 students who did not like pastries but liked candies. There were 5 students who did not like either pastries or candies.

Using a two-way table, predict the number of students who would like candies when 200 students participate in the survey.

45

50

90

95

Question

Monsjanechloehanna Monsjanechloehanna

29-09-2016
Mathematics

Answered

A confectionary company did a survey among students. It was found that 80 students liked pastries and 30 of those students liked candies also. There were 15 students who did not like pastries but liked candies. There were 5 students who did not like either pastries or candies.

Using a two-way table, predict the number of students who would like candies when 200 students participate in the survey.

45

50

90

95

Verified Answer :

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Lampa20 Lampa20 · Answer 1 · 2016-09-30T01:45:22-04:00

The question is to find how many students like candies and not how many like only candies! Total number of students in first survey was 80+15+5=100 (there isn't "+30" because they are counted in 80 because of the text).

Since total number of students in second survey would be 200 we need to double number of students who like candies in first survey to get our answer.

Number of students who like candies is: 30+15=45

Therefore in second survey there will be 45*2=90 students who like candies.

maheshpatelvVT maheshpatelvVT · Answer 2 · 2022-06-07T04:32:37-04:00

The number of students who would like candies when 200 students participate in the survey is 90.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

We have:

Students liked pastries, and 30 of those students liked candies also. There were 15 students who did not like pastries but liked candies.

Number of students who did not like either pastries or candies = 5

Total number of students in first survey = 80 + 15 + 5 = 100

To achieve our response, we need to double the number of students who like candies in the first survey, so the total number of students in the second survey will be 200.

Number of students who like candies = 30 + 15 = 45

Number of students in the second survey who likes the candies = 45×2

= 90

Thus, the number of students who would like candies when 200 students participate in the survey is 90.

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

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