Question

Which conclusions can be drawn from the results of the survey? Check all that apply. There is no association between using social media and grade level. The probability a student uses social media, given that he or she is in 9th grade, is 81%. A student who is more likely to not use social media is in 8th grade. An 8th grader is more likely to use social media than not. Knowing a student’s grade level does not help determine if he or she uses social media.

Answer 1

The sample space of an experiment is changed when some additional information pertaining to the outcome of the experiment is received. The effect of such information is to reduce the sample space by excluding some outcomes as being impossible which before receiving the information were believed possible . The probabilities associated with such a reduced sample space are called conditional probabilities.

Knowing a student’s grade level does not help determine if he or she uses social media.

The given survey explains the conditional probability.

The students of the reduced sample space i.e. of 9th grade have the probability of 81% who use the social media.

The students of 8th grade that use social media can be greater or less than 81%.

Therefore this experiment does not help determine if he or she uses social media on the basis of his/her grade.

Only the last option is correct.

The conditional probability can be understood by the following.

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