Question

At a middle school science fair, all the science fair projects used mathematics, but only
30% of the projects display the mean or the median. 27% of all the science fair projects
display the mean and 16% of all the science fair projects display the median.
1. Apply the addition rule,
P(mean or median) = P(mean) + P(median) P(mean and median)
to find the probability that a randomly selected project at this science fair displays
the mean and the median. Be sure to show your work and write 2-3 sentences
explaining how you found your answer
2. Tommy made the Venn diagram below of this situation
Pls help ASAP !!!

Answer 1

The values of X and Y as obtained from the Venn diagram given are :

• X = 0.13
• Y = 0.70

P(mean or median) = 30%

According to the addition rule :

• P(mean or median) = P(mean only) + P(median only ) P(mean and median)

• 30% = (14% + 3% + X)
• 30% = 17% + X
• X = 30% - 17%
• X = 13%

• X = probability that a randomly selected project displays the mean and the median.

• Y is the probability that a randomly selected project does not display either the mean or the median

• This is 1 - P(mean or median)

• Y = 1 - 0.3 = 0.7

Therefore, the value of X in the venn diagram is 0.13 and the value of Y is 0.70

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